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Tabulation

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Quick recall · 233 cards
Short MCQ-style retrieval prompts. Tap a card to reveal the answer.
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Which of the following best defines primary data?
B · First-hand data gathered directly by the researcher
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Which of the following is secondary data?
C · Government census records obtained online
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What is a disadvantage of using secondary data?
B · The investigator cannot decide what is collected
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Which of the following is a self-reporting technique of data collection?
C · Questionnaire
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Secondary/existing data may include which of the following?
D · All of the above
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An item that directs participants to different follow-up questions depending on their response is called a ____________.
D · Contingency question
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Which of the following terms best describes data that were originally collected at an earlier time by a different person for a different purpose?
B · Secondary data
Secondary data is data originally collected at an earlier time by someone else for a different purpose, distinguishing it from primary data which is collected firsthand for the current study.[2]
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Researchers use both open-ended and closed-ended questions to collect data. Which method primarily relies on self-reporting through such questions?
C · Questionnaires
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Which data collection method involves direct interaction between the researcher and the respondent?
C · Interview
Interview involves direct interaction between the researcher and the respondent, allowing for clarification and higher quality responses compared to self-administered methods like questionnaires.[5]
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The amount of time required to complete a project is _______ type of data.
B · (b) Continuous
PYQ · 2022 Tap to reveal →
Determine whether the statement describes a population or a sample: The high school GPAs of all the parents of your classmates.
A · (A) Population
PYQ · 2022 Tap to reveal →
Determine whether the statement describes a population or a sample: The heights of 14 out of the 31 cucumber plants at Mr. Lonardo's greenhouse.
B · (B) Sample
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Study the following table and find the average height of all the boys.\n\n
Heights12345678
Boys153158147145156146157146
Girls134146149137142143141130
B · 151.25
To find the average height of all boys, sum their heights: 153 + 158 + 147 + 145 + 156 + 146 + 157 + 146 = 1212. There are 8 boys, so average = 1212 / 8 = 151.25, which corresponds to option B.
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What is the arrangement of data in rows and columns known as?
C · Tabulation
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When the quantitative and qualitative data are arranged according to a single feature, what is the tabulation known as?
C · One-way table
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The frequency distribution below summarizes employee years of service for Alpha Corporation. Determine the width of each class. Years of service | Frequency 1-5 | 5 6-10 | 12 11-15 | 28 16-20 | 19 21-25 | 8 26-30 | 3
B · B) 5
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Of the following dotplots, which represents a set of data with a negatively skewed distribution? Refer to the dotplots below.
C · C
A negatively skewed distribution has a longer tail on the left side, with more data points on the higher values and tail extending left. Dotplot C shows cluster on right with tail to left[5].
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Which of the following best defines primary data?
A · Data collected directly from first-hand experience or observation
Primary data is original data collected directly by the researcher through observation, surveys, or experiments.
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Which characteristic is true for primary data?
A · It is collected for a specific research purpose
Primary data is collected specifically for the research problem at hand, making it relevant and specific.
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Which of the following is NOT a characteristic of primary data?
D · Always available from published sources
Primary data is not always available from published sources; it is collected firsthand by the researcher.
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Secondary data is best described as data that is:
B · Data obtained from previously collected sources
Secondary data refers to data that has already been collected by others and is reused for a new purpose.
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Which of the following is a characteristic of secondary data?
B · Usually cheaper and quicker to obtain
Secondary data is generally cheaper and quicker to obtain since it already exists.
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Which statement about secondary data is correct?
B · It can be obtained from sources like government publications and research reports
Secondary data is often obtained from sources such as government publications, research reports, and databases.
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Which of the following is a primary source of data?
B · Interview responses collected by a researcher
Interview responses collected directly by a researcher are primary data.
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Which of the following is a medium difficulty question on sources of primary data?
B · Data collected through direct observation and experiments
Direct observation and experiments are key sources of primary data.
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Which of the following is a source of secondary data?
B · Data from a national census report
National census reports are examples of secondary data sources.
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Which of the following best represents a medium difficulty question on sources of secondary data?
B · Data obtained from company annual reports and archives
Company annual reports and archives are common sources of secondary data.
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Which of the following is an advantage of primary data?
B · It is specifically tailored to the research problem
Primary data is collected specifically for the research problem, making it highly relevant.
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What is a major disadvantage of primary data collection?
B · It can be costly and time-consuming
Primary data collection often requires significant time and resources, making it costly and time-consuming.
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Which of the following is an advantage of using secondary data?
B · It is less expensive and faster to obtain
Secondary data is generally less expensive and quicker to access since it already exists.
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What is a major disadvantage of secondary data?
B · It may be outdated or not specific to the research needs
Secondary data may be outdated or not perfectly aligned with the current research objectives.
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Which of the following is a medium level question on differences between primary and secondary data?
B · Secondary data is collected for a purpose other than the current research
Secondary data is typically collected for purposes other than the current research study.
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Which of the following is a hard-level question on differences between primary and secondary data?
C · Primary data provides control over data quality but may be costly; secondary data is economical but may lack relevance
Primary data allows control over data quality but can be costly and time-consuming; secondary data is economical but may not be fully relevant or accurate.
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Which of the following is an example of qualitative data?
B · Colors of cars in a parking lot
Colors of cars represent qualitative data as they describe categories or qualities.
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Which of the following pairs correctly classifies the data types?
B · Temperature - Quantitative; Marital Status - Qualitative
Temperature is a quantitative variable (numerical), while marital status is qualitative (categorical).
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Which of the following best describes primary data?
A · Data collected firsthand for a specific research purpose
Primary data is original data collected directly by the researcher for a specific purpose.
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Which characteristic is typical of primary data?
B · It is collected directly by the researcher
Primary data is collected firsthand by the researcher through surveys, experiments, or observations.
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Which of the following is NOT a characteristic of primary data?
C · Always available in large quantities
Primary data is not always available in large quantities; it depends on the scope and resources of the study.
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Secondary data is best defined as data that is:
B · Obtained from existing sources for a purpose other than the current research
Secondary data is data collected by someone else for a different purpose and reused for current research.
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Which of the following is a characteristic of secondary data?
B · Usually collected for a different purpose
Secondary data is typically collected for purposes other than the current research study.
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Which statement about secondary data is true?
B · It can be obtained from published books and reports
Secondary data can be obtained from various published sources such as books, reports, and journals.
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Which of the following is a primary source of data?
B · Interviews conducted by the researcher
Interviews conducted by the researcher are primary sources because data is collected firsthand.
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Which of the following is a medium-level source of primary data?
B · Data collected through questionnaires
Questionnaires filled by respondents provide primary data collected directly for research.
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Which of the following is an example of a secondary data source?
B · Data from a government census report
Government census reports are secondary data as they are collected for purposes other than the current research.
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Which is a medium-level example of a secondary data source?
B · Published research articles and statistical abstracts
Published research articles and statistical abstracts are examples of secondary data sources.
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One advantage of primary data is that it:
B · Is specifically tailored to the research problem
Primary data is collected specifically to address the research question, making it highly relevant.
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A disadvantage of primary data is that it:
B · Is often time-consuming and costly to collect
Collecting primary data often requires significant time and resources.
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Which of the following is an advantage of secondary data?
B · It is readily available and inexpensive to obtain
Secondary data is often easily accessible and less costly compared to primary data.
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A disadvantage of secondary data is that it:
B · May be outdated or not exactly fit the research needs
Secondary data may not be current or perfectly suited to the research question.
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Which of the following correctly distinguishes primary data from secondary data?
B · Primary data is collected for a specific purpose; secondary data is collected for other purposes
Primary data is collected specifically for the current research, whereas secondary data is collected for other purposes.
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Which of the following is a medium-level difference between primary and secondary data?
B · Secondary data may lack relevance or accuracy compared to primary data
Secondary data may not fully meet the research needs in terms of relevance or accuracy.
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Which of the following is a hard-level analytical question comparing primary and secondary data?
C · Choosing between primary and secondary data depends on factors like cost, time, and research objectives
The choice between primary and secondary data depends on multiple factors including cost, time, accuracy, and research goals.
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Which of the following is an example of an application of primary data?
B · Conducting a survey to assess customer satisfaction
Conducting a survey collects primary data directly from respondents for a specific purpose.
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Which of the following is a medium-level example of secondary data application?
B · Using government statistical reports to analyze economic growth
Government statistical reports are secondary data used for analysis without new data collection.
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Which of the following best defines quantitative data?
A · Data expressed in numbers and measurable quantities
Quantitative data refers to data that can be measured and expressed numerically.
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Which of the following is an example of qualitative data?
A · Colors of cars in a parking lot
Qualitative data is descriptive and categorical, such as colors or labels.
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Which statement correctly distinguishes between discrete and continuous data?
B · Discrete data is countable and takes specific values, continuous data can take any value within a range
Discrete data consists of distinct countable values, while continuous data can take any value within an interval.
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Which of the following is a primary method of data collection?
A · Conducting a survey using questionnaires
Primary data is collected firsthand by the researcher, such as through surveys or experiments.
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Which primary data collection method is most suitable for collecting detailed personal opinions?
B · Interview
Interviews allow for in-depth collection of personal opinions and detailed responses.
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What is a major limitation of collecting primary data through observation?
B · Observer bias may affect data accuracy
Observer bias can influence the data collected during observation, affecting its reliability.
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Which of the following is NOT a secondary data source?
C · Data collected through experiments
Data collected through experiments is primary data, not secondary.
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Which source is considered a secondary data source for a researcher studying population trends?
B · Census data published by the government
Census data is a secondary source as it is collected and published by an external agency.
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Which of the following is a potential disadvantage of using secondary data?
B · Data may not be specific to the researcher's needs
Secondary data may not exactly fit the researcher's specific requirements or context.
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Which technique of data collection involves asking a set of structured questions to respondents?
B · Questionnaire
A questionnaire is a structured set of questions used to collect data from respondents.
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Which data collection technique is best suited for collecting non-verbal behavior data?
B · Observation
Observation allows collection of non-verbal and behavioral data directly.
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Which of the following is a disadvantage of using interviews as a data collection technique?
B · They are time-consuming and may introduce interviewer bias
Interviews can be time-consuming and interviewer bias may affect the responses.
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Which of the following best describes the classification of data?
A · Grouping data into categories based on common characteristics
Classification involves organizing data into groups or categories sharing similar traits.
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Which of the following is an example of classifying data based on numerical ranges?
B · Grouping ages into intervals: 0-10, 11-20, 21-30
Grouping ages into intervals is a classification based on numerical ranges.
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Which of the following is the most appropriate classification of data collected from a survey on monthly income?
C · Classification into class intervals
Income data is quantitative and is best classified into class intervals for analysis.
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Which of the following best describes qualitative data?
B · Data that can be categorized based on attributes or qualities
Qualitative data refers to data that can be categorized based on attributes or qualities rather than numerical values.
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Which of the following is an example of discrete data?
B · Number of cars in a parking lot
Discrete data consists of countable values, such as the number of cars, which can only take integer values.
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Which statement correctly differentiates between primary and secondary data?
B · Primary data is original and collected firsthand; secondary data is obtained from existing sources
Primary data is original data collected firsthand by the researcher, while secondary data is obtained from existing sources such as reports or databases.
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Which of the following is NOT a primary data collection method?
C · Published research articles
Published research articles are secondary data sources, not primary data collection methods.
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What is a key advantage of using personal interviews as a primary data collection method?
B · They allow for in-depth responses and clarification
Personal interviews allow the interviewer to probe deeper and clarify responses, leading to richer data.
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Which primary data collection method is most suitable for collecting data from a large geographically dispersed population?
B · Telephone survey
Telephone surveys are efficient for reaching large, dispersed populations quickly and cost-effectively.
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Which of the following is a common source of secondary data?
B · Government census reports
Government census reports are typical examples of secondary data sources.
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Which of the following is a limitation of secondary data?
B · It may not exactly fit the researcher's specific needs
Secondary data may not be perfectly aligned with the research objectives, limiting its usefulness.
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Which technique of data collection involves recording behavior without direct interaction with subjects?
B · Observation
Observation involves watching and recording behavior without interacting directly with the subjects.
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Which technique is most appropriate when the researcher wants to collect detailed opinions from a small group of people?
B · Focus group discussion
Focus group discussions are designed to collect detailed opinions and attitudes from a small group.
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Which of the following is a disadvantage of using mailed questionnaires for data collection?
B · Low response rate
Mailed questionnaires often suffer from low response rates, which can affect data quality.
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Which sampling method involves selecting every kth item from a list after a random start?
B · Systematic sampling
Systematic sampling selects every kth item from a list after choosing a random start point.
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In which sampling method is the population divided into homogeneous groups, and samples are drawn from each group proportionally?
B · Stratified sampling
Stratified sampling divides the population into homogeneous strata and samples from each stratum proportionally.
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Which sampling method is most appropriate when the population is naturally divided into clusters and it is costly to survey all clusters?
B · Cluster sampling
Cluster sampling involves selecting entire clusters randomly, useful when populations are naturally grouped and full coverage is costly.
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Which of the following is an advantage of using primary data collection methods?
B · Data is specifically tailored to the research problem
Primary data collection allows the researcher to gather data specifically suited to the research objectives.
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What is a common limitation of secondary data sources?
B · They may be outdated or irrelevant
Secondary data may be outdated or not fully relevant to the current research problem.
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What is the primary purpose of classification in statistics?
A · To organize data into meaningful groups
Classification helps in organizing data into meaningful groups to simplify analysis and interpretation.
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Which of the following best defines classification in data collection?
A · Grouping data based on common characteristics
Classification involves grouping data based on shared attributes or characteristics.
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How does classification facilitate statistical analysis?
A · By reducing data complexity through grouping
Classification reduces complexity by grouping similar data, making analysis easier and more meaningful.
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Which of the following is an example of primary data?
A · Data collected through a survey conducted by the researcher
Primary data is original data collected firsthand by the researcher through surveys, experiments, or observations.
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Which of the following sources provides secondary data?
A · Published research articles
Secondary data is data collected by someone else and published, such as research articles, reports, or databases.
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Which statement correctly distinguishes primary data from secondary data?
A · Primary data is collected for a specific purpose; secondary data is collected for other purposes
Primary data is collected for the specific research at hand, whereas secondary data was collected for some other purpose.
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Which of the following is NOT a characteristic of secondary data?
A · Collected by the researcher for the current study
Secondary data is not collected by the researcher for the current study; it is collected by others for different purposes.
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Which type of classification divides data into categories based on qualities or characteristics rather than numbers?
A · Qualitative classification
Qualitative classification groups data based on attributes or qualities, such as gender or color.
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Which of the following is an example of quantitative classification?
A · Classifying students by their marks scored
Quantitative classification involves grouping data based on numerical values, such as marks or age.
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Which of the following statements about qualitative and quantitative classification is correct?
A · Qualitative data is non-numeric; quantitative data is numeric
Qualitative data refers to non-numeric categories, while quantitative data involves numeric values.
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In the context of classification bases, which of the following best describes an attribute?
A · A characteristic that cannot be measured numerically
An attribute is a qualitative characteristic or quality that cannot be measured numerically.
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Which of the following is an example of a variable used as a base for classification?
A · Height of students in centimeters
A variable is a measurable characteristic, such as height, that can take numerical values.
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Which statement correctly differentiates attributes and variables in classification?
A · Attributes are qualitative; variables are quantitative
Attributes refer to qualitative characteristics, while variables are measurable quantities, often numeric.
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Which of the following best describes an exclusive method of classification?
A · Each data item belongs to only one class
In exclusive classification, each data item is assigned to one and only one class to avoid overlap.
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Which of the following is a characteristic of non-exclusive classification?
A · Data items may be included in more than one class
Non-exclusive classification allows data items to belong to multiple classes simultaneously.
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Which method of classification would be most appropriate when classifying survey respondents by multiple hobbies they engage in?
A · Non-exclusive classification
Since respondents can have multiple hobbies, non-exclusive classification allows overlapping class membership.
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Which of the following best describes frequency distribution in the context of classification?
A · A tabular arrangement showing classes and their corresponding frequencies
Frequency distribution arranges data into classes along with the number of observations in each class.
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What is the main purpose of tabulation in data classification?
A · To summarize data in a systematic and compact form
Tabulation organizes data into rows and columns to summarize and present it clearly.
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Which of the following is a correct statement about frequency distribution and tabulation?
A · Frequency distribution is a type of tabulation that shows the number of occurrences in each class
Frequency distribution is a specific form of tabulation that displays frequencies of data classes.
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Which of the following is NOT a use of classification in statistics?
C · To increase the raw data collected
Classification organizes existing data; it does not increase the amount of raw data collected.
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Why is classification considered important in statistical studies?
A · It helps in organizing data to make interpretation easier
Classification organizes data into groups, making it easier to analyze and interpret results.
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What is the primary purpose of classification in statistics?
A · To organize data into meaningful groups
Classification helps organize data into meaningful groups or classes to simplify analysis and interpretation.
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Which of the following best defines classification in statistics?
A · Grouping data based on common characteristics
Classification involves grouping data based on shared attributes or characteristics.
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How does classification aid in statistical analysis?
A · By reducing data complexity and enabling easier interpretation
Classification reduces data complexity by grouping similar data, making it easier to analyze and interpret.
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Which of the following is an example of primary data?
A · Data collected through a survey conducted by the researcher
Primary data is original data collected firsthand by the researcher through surveys, experiments, or observations.
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Secondary data refers to data that is:
A · Collected by someone other than the user for a purpose other than the current study
Secondary data is data collected by others for purposes different from the current researcher's study.
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Which of the following statements about primary and secondary data is correct?
A · Primary data is usually more expensive and time-consuming to collect than secondary data
Primary data collection often requires more resources and time compared to using existing secondary data.
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Which type of classification divides data into categories based on qualities or characteristics rather than numerical values?
A · Qualitative classification
Qualitative classification groups data based on attributes or qualities rather than numerical measurements.
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Which of the following is a quantitative classification of data?
A · Classifying students by their marks scored in an exam
Quantitative classification involves grouping data based on numerical values such as marks scored.
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Which of the following best describes the difference between qualitative and quantitative classification?
A · Qualitative classification is based on attributes; quantitative classification is based on numerical values
Qualitative classification groups data by attributes or categories, while quantitative classification groups data by numerical values.
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Which of the following is an example of a variable used as a basis for classification?
A · Height of students measured in centimeters
A variable is a measurable characteristic that can take different numerical values, such as height.
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Attributes used for classification are typically:
A · Qualitative characteristics such as color or type
Attributes are qualitative characteristics used to classify data, such as color or type.
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Which of the following statements about variables and attributes is correct?
A · Variables are measurable quantities; attributes are qualitative characteristics
Variables represent measurable quantities, while attributes are qualitative characteristics used in classification.
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Which level of classification allows data to be categorized without any order or ranking?
A · Nominal level
Nominal level classification categorizes data without any inherent order or ranking.
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Which level of measurement allows for ranking data but does not have equal intervals between ranks?
A · Ordinal level
Ordinal level data can be ranked but the intervals between ranks are not necessarily equal.
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Which level of classification includes data with equal intervals but no true zero point?
A · Interval level
Interval level data have equal intervals between values but lack a true zero point (e.g., temperature in Celsius).
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Which method of data classification is appropriate for continuous data?
A · Grouping data into class intervals
Continuous data are best classified by grouping into class intervals to handle the infinite possible values.
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When classifying discrete data, which method is generally preferred?
A · Listing each distinct value separately
Discrete data have distinct values and are usually classified by listing each value separately.
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Which of the following best describes the importance of classification in statistics?
A · It simplifies data analysis by organizing data into meaningful groups
Classification organizes data into groups, making it easier to analyze and interpret statistical information.
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In which of the following applications is classification most useful?
A · Organizing survey responses into categories for analysis
Classification is essential for organizing raw data into categories to facilitate meaningful analysis.
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Which of the following best defines tabulation in statistics?
B · The systematic arrangement of data in rows and columns
Tabulation is the systematic arrangement of data in rows and columns to facilitate understanding and analysis.
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What is the primary purpose of tabulation in data analysis?
B · To summarize and present data clearly
The main purpose of tabulation is to summarize and present data clearly for easy interpretation.
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Which of the following statements about tabulation is correct?
B · Tabulation helps in identifying trends and patterns in data
Tabulation helps in identifying trends and patterns by organizing data systematically.
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Which of the following is NOT a component of a statistical table?
C · Graph or Chart
Graphs or charts are not components of a table; they are separate forms of data presentation.
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Refer to the diagram below showing a sample table. Identify the part labeled 'A' which lists the categories of data.
B · Stub
The stub is the part of the table that lists the categories or row headings of data.
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Which component of a table provides the title describing the data presented?
B · Caption
The caption or title describes the content and purpose of the table.
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Which of the following is a type of table used to show data classified according to two variables?
D · Two-Way Table
A two-way table classifies data according to two variables, showing their relationship.
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Which type of table is best suited for presenting data collected over a period of time?
B · Time Series Table
Time series tables are used to present data collected at successive time intervals.
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Refer to the diagram below showing a two-way table of students' performance. Which type of table is illustrated?
C · Two-Way Table
The table classifies students by both gender and grade, making it a two-way table.
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Which of the following is a correct rule for tabulation?
C · Each table should have a clear and concise title
Each table must have a clear and concise title to inform the reader about the data presented.
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Which of the following is NOT a guideline for preparing a good statistical table?
C · Include too many decimals for precision
Including too many decimals can clutter the table and reduce clarity; precision should be balanced with readability.
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Refer to the diagram below showing a table with inconsistent units in columns. Which rule of tabulation is violated here?
B · Uniformity of units throughout the table
The table violates the rule of using uniform units throughout, as different columns use different units.
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Which of the following is an advantage of tabulation?
B · It helps in summarizing large data sets effectively
Tabulation helps summarize large data sets effectively by organizing data systematically.
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One limitation of tabulation is that it:
B · May hide detailed information due to summarization
Tabulation summarizes data, which may lead to loss of detailed information.
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Which of the following is an advantage of tabulation over classification?
A · Tabulation arranges data in a systematic order for easy comparison
Tabulation arranges data systematically, making comparison easier than mere classification.
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Which of the following correctly differentiates tabulation from classification?
C · Classification groups data into classes, tabulation arranges data in rows and columns
Classification groups data into classes, while tabulation arranges the classified data in rows and columns.
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Which statement best describes the difference between tabulation and classification?
C · Classification is grouping data, tabulation is organizing grouped data in a table
Classification groups data into categories, and tabulation organizes this grouped data into tables.
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Which of the following is a key difference between classification and tabulation?
D · Classification groups data into classes, tabulation arranges data in tables
Classification groups data into classes, and tabulation arranges these classes into tables for presentation.
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Refer to the tabulated data below showing sales figures. What is the total sales for Product B across all quarters?
B · 500
Product B sales are 120 in Q1, 130 in Q2, 150 in Q3, and 100 in Q4. Total = 120+130+150+100 = 500.
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Refer to the table below showing the number of students enrolled in different courses. Which course has the highest enrollment?
B · Physics
Physics has the highest enrollment with 85 students.
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Based on the table below, what percentage of total sales does Product C contribute if total sales of all products are 1000 units?
B · 25%
Product C sales are 250 units. Percentage = (250/1000) * 100 = 25%.
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Refer to the table below showing monthly expenses. If the total expense is \( \$2000 \), which month has the highest expense percentage?
C · March
March has the highest expense of \( \$600 \), which is 30% of the total expense.
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Which of the following best describes the primary purpose of tabulation in statistics?
B · To summarize data systematically for easy interpretation
Tabulation is mainly used to organize and summarize data systematically to facilitate easy interpretation and analysis.
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Tabulation in statistics is primarily used to:
B · Arrange data in rows and columns for clarity
Tabulation arranges data in rows and columns to present it clearly and systematically.
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Which of the following statements correctly defines tabulation?
C · Tabulation is the systematic arrangement of data in rows and columns.
Tabulation refers to the systematic arrangement of data in rows and columns for better understanding.
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Which of the following is NOT a component of a statistical table?
D · Histogram
A histogram is a graphical representation, not a component of a statistical table. The main components of a table include the title, body, and footnotes.
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The part of a table that explains the data or provides additional information is called:
C · Footnote
Footnotes provide explanations or additional information related to the data in the table.
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In a statistical table, the 'stub' refers to the:
B · Leftmost column containing the classification of data
The stub is the leftmost column of a table that lists the categories or classifications of data.
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Which type of table is used to show the relationship between two or more variables?
D · Cross Tabulation Table
Cross tabulation tables display the relationship between two or more variables by showing their joint frequency distribution.
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A table that presents data in a summarized form using totals and sub-totals is called:
B · Summary Table
Summary tables provide a condensed view of data with totals and sub-totals for easier interpretation.
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Which of the following is a characteristic of a complex table?
B · Has multiple stubs and column headings
Complex tables have multiple stubs and column headings to represent data involving several variables or classifications.
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Which type of table would be most appropriate to display the frequency of students in different age groups and their corresponding grades?
B · Cross Tabulation Table
A cross tabulation table is suitable for showing the relationship between two variables, such as age groups and grades.
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Which of the following is NOT a recommended rule for tabulation?
B · Avoid using totals and sub-totals
Including totals and sub-totals is a recommended practice to summarize data effectively; avoiding them is not advised.
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Which guideline is important to maintain clarity in tabulation?
C · Use uniform units and labels
Using uniform units and clear labels helps maintain clarity and prevents confusion in tabulated data.
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A hard rule in tabulation is to:
B · Avoid repetition of data in rows and columns
Avoiding repetition of data ensures the table is concise and easy to read, which is a fundamental rule of tabulation.
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One of the advantages of tabulation is that it:
B · Helps in summarizing large volumes of data effectively
Tabulation helps in summarizing and organizing large amounts of data systematically for easier analysis.
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Which of the following is a limitation of tabulation?
B · It may not reveal trends or patterns clearly
Tabulated data may not always reveal trends or patterns clearly, which is why graphical representation is often used alongside.
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Which of the following is an advantage of tabulation over classification?
A · Tabulation organizes data in a systematic form for easy comparison
Tabulation arranges classified data systematically in rows and columns, making comparison easier.
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Which statement correctly differentiates classification from tabulation?
B · Classification is the process of grouping data; tabulation is the systematic presentation of classified data.
Classification groups data into categories, while tabulation presents this classified data systematically in tables.
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When interpreting a frequency distribution table, which of the following can be directly observed?
B · The frequency of each data category
A frequency distribution table shows the frequency or count of data points in each category, which can be directly observed.
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Refer to the table below showing sales data of different products over four quarters. Which product showed the highest total sales?
C · Product C
By summing the quarterly sales for each product, Product C has the highest total sales.
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Which of the following interpretations is valid when analyzing a cross tabulation table?
B · It reveals the relationship between two variables
Cross tabulation tables help in understanding the relationship between two or more variables by showing their joint frequencies.
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When interpreting tabulated data, which of the following should be considered to avoid misinterpretation?
B · Considering the scale and classification used
Considering the scale, units, and classification used in the table is essential to correctly interpret the data and avoid errors.
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Which of the following best defines qualitative data?
B · Data describing attributes or characteristics
Qualitative data refers to data that describes qualities or characteristics and is non-numerical.
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Which of the following is an example of quantitative data?
B · Number of students in a class
Quantitative data is numerical and can be counted or measured, such as the number of students.
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Which of the following statements correctly distinguishes between discrete and continuous data?
B · Discrete data is countable, continuous data can take any value within a range
Discrete data consists of countable values, while continuous data can take any value within an interval.
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Which of the following is an example of primary data?
C · Data collected through a survey conducted by the researcher
Primary data is original data collected firsthand by the researcher through surveys, experiments, or observations.
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Secondary data is best described as data that is:
C · Data obtained from existing sources like books or reports
Secondary data is data collected by someone else and obtained from existing sources such as reports, books, or databases.
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Which of the following statements is true regarding primary and secondary data?
C · Primary data collection is usually more time-consuming than secondary data
Primary data collection involves direct data gathering, which is usually more time-consuming compared to using secondary data.
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Data can be classified into which of the following main types?
C · Qualitative and Quantitative
The main classification of data is qualitative (categorical) and quantitative (numerical).
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Which of the following is NOT a correct classification of data based on measurement scale?
D · Discrete
Discrete is a type of quantitative data, not a measurement scale. Nominal, ordinal, and interval are scales of measurement.
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Which of the following best describes the ordinal scale of measurement?
B · Data with meaningful order but no fixed interval between values
Ordinal data has a meaningful order or ranking but intervals between ranks are not necessarily equal.
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Refer to the data set: 12, 15, 18, 20, 22, 25, 28, 30. Which of the following frequency distribution tables correctly groups the data into class intervals of width 5 starting from 10?
A · 10-14:1, 15-19:2, 20-24:2, 25-29:2, 30-34:1
Class intervals of width 5 starting from 10 are 10-14, 15-19, 20-24, 25-29, 30-34. The frequencies match the data points falling into these intervals.
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Given the data: 5, 7, 8, 10, 12, 15, 18, 20, construct a grouped frequency distribution table with class width 5 starting at 5. What is the frequency of the class interval 10-14?
A · 1
Only 12 falls in the class interval 10-14, so frequency is 1.
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Which of the following is a necessary step when constructing a frequency distribution table for grouped data?
B · Ensuring class intervals are mutually exclusive and exhaustive
Class intervals must be mutually exclusive (no overlap) and exhaustive (cover all data).
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Refer to the raw data: 3, 5, 7, 8, 10, 12, 15, 18, 20. Construct a grouped frequency distribution table with class width 5 starting at 0. How many classes will be needed to cover all data?
B · 4
Classes: 0-4, 5-9, 10-14, 15-19 cover all data points.
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Which of the following best describes an ungrouped frequency distribution?
B · Data listed individually with their frequencies
Ungrouped frequency distribution lists individual data values with their frequencies.
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Which of the following is a characteristic of grouped frequency distribution?
B · Data is grouped into class intervals with frequencies
Grouped frequency distribution organizes data into class intervals along with their frequencies.
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Which of the following frequency distributions is best suited for large data sets with wide ranges?
B · Grouped frequency distribution
Grouped frequency distribution is used for large data sets to simplify data presentation.
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Class intervals are used in frequency distribution to:
A · Group data into equal or unequal ranges
Class intervals group data into ranges to organize and summarize data effectively.
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Refer to the class interval 20-29. What are the class boundaries if the class intervals are continuous and no gaps exist between classes?
A · 19.5 and 29.5
Class boundaries are obtained by subtracting 0.5 from the lower limit and adding 0.5 to the upper limit for continuous data.
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Refer to the diagram below showing class intervals and class boundaries for grouped data. Which of the following statements is correct?

20-2919.529.5
B · Class boundaries are 19.5 and 29.5
The diagram shows class boundaries as 19.5 and 29.5, which are the limits adjusted to remove gaps between intervals.
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In a frequency distribution, the cumulative frequency of a class is defined as:
B · The sum of frequencies of all classes up to and including that class
Cumulative frequency is the total of frequencies for all classes up to and including the specified class.
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If the frequencies of classes are 3, 5, 7, 10, what is the cumulative frequency of the third class?
B · 15
Cumulative frequency up to third class = 3 + 5 + 7 = 15.
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Which of the following graphs is best suited to represent cumulative frequency distribution?
C · Ogive
An ogive is a graph used to represent cumulative frequency distribution.
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Refer to the histogram below representing frequency distribution of marks scored by students. Which class interval has the highest frequency?

0-1010-2020-3030-4040-50FrequencyMarks
D · 30-40
The tallest bar corresponds to the class interval 30-40 indicating the highest frequency.
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Refer to the frequency polygon below constructed from grouped data. Which class interval corresponds to the highest frequency?

0-1010-2020-3030-4040-5050-60FrequencyClass Intervals
C · 30-40
The highest point on the frequency polygon corresponds to the class interval 30-40.
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Refer to the ogive below representing cumulative frequency distribution. What is the cumulative frequency at class boundary 40?

102030405060Cumulative FrequencyClass Boundaries
D · 100
The ogive shows the cumulative frequency at class boundary 40 as 100.
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Which of the following best defines cumulative frequency?
A · The sum of all frequencies up to a certain class boundary
Cumulative frequency is the running total of frequencies up to a particular class boundary, showing how frequencies accumulate across classes.
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What is the primary purpose of constructing a cumulative frequency distribution?
C · To understand the number of observations below or above a certain value
Cumulative frequency helps in understanding how many observations lie below or above a particular value, aiding in data interpretation.
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Which statement correctly describes cumulative frequency?
D · It increases or remains the same as class intervals increase
Cumulative frequency either increases or remains the same as we move to higher class intervals because it is a running total of frequencies.
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Refer to the frequency distribution table below:

Class IntervalFrequency
0 - 105
10 - 208
20 - 3012
30 - 4010

What is the cumulative frequency for the class interval 20 - 30?
B · 25
Cumulative frequency up to 20 - 30 = 5 + 8 + 12 = 25.
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Refer to the frequency distribution below:

Class IntervalFrequency
0 - 53
5 - 107
10 - 155
15 - 2010

Construct the cumulative frequency for the class interval 10 - 15.
C · 15
Cumulative frequency up to 10 - 15 = 3 + 7 + 5 = 15.
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Given the frequency distribution:

Class IntervalFrequency
0 - 106
10 - 209
20 - 3015
30 - 4010

What is the cumulative frequency for the class interval 30 - 40 using the 'more than' type cumulative frequency?
C · 10
For 'more than' type, cumulative frequency at 30 - 40 is the frequency of 30 - 40 itself, which is 10.
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Which of the following best describes the 'less than' cumulative frequency?
B · Sum of frequencies less than or equal to a given class boundary
'Less than' cumulative frequency is the total frequency of all classes less than or equal to a particular class boundary.
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Refer to the table below:

Class IntervalFrequency
0 - 54
5 - 106
10 - 158

What is the 'more than' cumulative frequency for the class interval 5 - 10?
A · 14
'More than' cumulative frequency at 5 - 10 = sum of frequencies for 5 - 10 and above = 6 + 8 = 14.
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If the total number of observations is 50, and the cumulative frequency 'less than' 30 is 35, what does this indicate?
B · There are 35 observations less than or equal to 30
A cumulative frequency 'less than' 30 of 35 means 35 observations are less than or equal to 30.
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Refer to the cumulative frequency graph below (ogive). At which value on the x-axis does the cumulative frequency reach 40?

0102030405001020304050
B · 40
The ogive curve shows cumulative frequency reaching 40 at x = 40.
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In a cumulative frequency distribution, what does a steep slope in the ogive curve indicate?
A · A large number of observations in that class interval
A steep slope in the ogive represents a rapid increase in cumulative frequency, indicating many observations in that interval.
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Refer to the ogive curve below. What is the approximate median value of the data?

0102030405001020304050
B · 30
The median corresponds to the value at half the total frequency. The red dashed lines intersect the ogive at cumulative frequency 25 (half of 50), which corresponds approximately to 30 on the x-axis.
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Which of the following statements about an ogive curve is FALSE?
D · An ogive shows the frequency of individual classes
An ogive shows cumulative frequencies, not the frequency of individual classes.
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Refer to the ogive curve below. What is the approximate number of observations less than 25?

0102030405001020304050
C · 30
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Which of the following is NOT an application of cumulative frequency?
B · Determining the mode directly
Cumulative frequency does not directly help in determining the mode; mode is found from the frequency distribution.
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Refer to the cumulative frequency table below:

Class IntervalCumulative Frequency
0 - 107
10 - 2018
20 - 3030
30 - 4040

What is the approximate median class?
B · 20 - 30
Total frequency = 40. Median class is where cumulative frequency reaches half the total (20). The class 20 - 30 has cumulative frequency 30, which first exceeds 20, so it is the median class.
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Which of the following is a correct use of cumulative frequency in data analysis?
B · To find the number of data points above a certain value
Cumulative frequency helps in finding how many data points lie above or below a certain value, useful in percentile and median calculations.
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Refer to the frequency distribution below:

Class IntervalFrequency
0 - 53
5 - 107
10 - 1510
15 - 205

Calculate the 'less than' cumulative frequency for the class interval 15 - 20.
A · 25
Sum of frequencies up to 15 - 20 = 3 + 7 + 10 + 5 = 25.
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Which of the following best defines a histogram?
B · A graphical representation of numerical data using bars where the height represents frequency
A histogram is a graphical representation of numerical data where the data is grouped into intervals (bins) and the height of each bar represents the frequency of data points in that interval.
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What is the primary purpose of a histogram in statistics?
B · To show the distribution of numerical data and identify patterns such as skewness or modality
Histograms are used to show the distribution of numerical data, helping to identify patterns such as skewness, modality, and spread.
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Which statement about histograms is TRUE?
B · The width of bars in a histogram can vary depending on class intervals
In histograms, bars represent class intervals which can have varying widths, and the area of the bar corresponds to frequency. Gaps are not shown between bars.
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Which of the following best explains why histograms are preferred over frequency tables for large datasets?
A · Histograms provide a visual summary making it easier to identify data distribution
Histograms provide a visual summary of data distribution, making it easier to identify patterns such as skewness, modality, and spread, especially for large datasets.
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Refer to the diagram below showing a frequency distribution of exam scores. Which step is NOT necessary when constructing this histogram?
C · Drawing bars with gaps between them
In histograms, bars are drawn adjacent to each other without gaps to indicate continuous data intervals.
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Which of the following is the correct sequence for constructing a histogram from raw data?
B · Determine class intervals, calculate frequencies, draw bars
First, class intervals are determined, then frequencies for each class are calculated, and finally bars are drawn corresponding to these frequencies.
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Refer to the histogram below. If the class intervals are unequal, which measure must be used to correctly represent the data?
A · Frequency density
When class intervals are unequal, frequency density (frequency divided by class width) must be used to correctly represent data in a histogram.
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Which of the following errors can occur if class intervals overlap while constructing a histogram?
B · Double counting of data points leading to incorrect frequencies
Overlapping class intervals cause some data points to be counted more than once, leading to incorrect frequencies.
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Refer to the histogram below. What can be inferred about the distribution of the data?
B · The data is positively skewed with a long tail on the right
The histogram shows a peak on the left and a tail extending to the right, indicating positive skewness.
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Which of the following statements about interpreting histograms is correct?
B · The area of each bar represents the frequency when class widths are unequal
When class widths are unequal, the area (height × width) of each bar represents the frequency, not just the height.
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Refer to the histogram below. What does the height of the tallest bar represent?
A · The class interval with the highest frequency
The tallest bar corresponds to the class interval with the highest frequency in the data set.
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Which of the following is NOT a valid interpretation of a cumulative frequency histogram?
C · The height of each bar represents the frequency of the class
In a cumulative frequency histogram, the height of bars represents cumulative frequency, not the frequency of individual classes.
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Refer to the histogram below. Which statement best describes the modality of the distribution?
B · The distribution is bimodal with two distinct peaks
The histogram shows two distinct peaks, indicating a bimodal distribution.
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Which of the following is a key difference between a histogram and a bar chart?
B · Histograms have bars touching each other; bar charts have gaps between bars
Histograms represent continuous data with adjacent bars touching each other, while bar charts represent categorical data with gaps between bars.
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Which of the following graphical representations is most appropriate for displaying the distribution of a continuous variable?
B · Histogram
Histograms are best suited for displaying the distribution of continuous numerical variables.
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Which of the following is NOT a difference between histograms and frequency polygons?
B · Histograms show frequencies; frequency polygons show cumulative frequencies
Frequency polygons show frequencies, not cumulative frequencies. Both histograms and frequency polygons represent numerical data distributions.
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Which type of histogram would you use to compare the proportion of data points in each class relative to the total number of observations?
B · Relative frequency histogram
A relative frequency histogram shows the proportion of data points in each class relative to the total number of observations.
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Refer to the histogram below showing cumulative frequencies. What is the approximate median value of the data?
B · Between 30 and 40
The median corresponds to the value where cumulative frequency reaches half the total frequency. From the graph, this occurs between 30 and 40.
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Which of the following is TRUE about cumulative frequency histograms?
C · They represent the running total of frequencies up to each class interval
Cumulative frequency histograms represent the running total of frequencies up to each class interval, showing how frequencies accumulate.
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Which of the following is a common mistake when interpreting histograms?
A · Assuming the height of the bar always equals the frequency when class widths vary
When class widths vary, the height of the bar does not directly represent frequency; frequency density must be considered. Assuming height equals frequency leads to misinterpretation.
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Which of the following errors can distort the interpretation of a histogram?
B · Incorrectly scaling the vertical axis
Incorrect scaling of the vertical axis can exaggerate or minimize differences in frequencies, leading to distorted interpretations.
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Refer to the histogram below. Which of the following mistakes is evident in the construction of this histogram?
A · Bars have unequal widths but heights represent frequencies directly
When bars have unequal widths, heights should represent frequency density, not frequency. Using height as frequency directly is a mistake.

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