Data and Statistics Overview

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Questions and Answers

What is the singular form of data?

  • Variable
  • Information
  • Datum (correct)
  • Statistics

Which of the following best describes statistics?

  • The collection of raw facts
  • The results from analyzing data (correct)
  • A method of presenting numerical data only
  • The science of raw data without computations

What is the primary function of statistics in research?

  • To simply present data in tables
  • To provide a subjective interpretation of data
  • To analyze and interpret data (correct)
  • To collect raw data

Which method is NOT mentioned for presenting data?

<p>Diagrams (B)</p>
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Which term refers to the entire collection of data points to analyze?

<p>Population (C)</p>
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Which of the following concepts is NOT discussed in relation to data?

<p>Random sampling (B)</p>
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Which of the following is a common source for statistics reporting?

<p>Government agencies (C)</p>
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Which objective is NOT part of descriptive statistics as outlined?

<p>Analyze behavioral data (C)</p>
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What distinguishes a continuous variable from a discrete variable?

<p>Continuous variables can theoretically assume any value between two given values. (A)</p>
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Which of the following is an example of a qualitative variable?

<p>Gender (D)</p>
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Which of the following methods is primarily associated with collecting data through controlled variables?

<p>Direct observation (D)</p>
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What type of variable only assumes one value?

<p>Constant (D)</p>
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What is a characteristic of quantitative variables?

<p>They can be precisely measured and compared. (A)</p>
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Which data collection method involves asking direct questions to gather information?

<p>Interviewing (D)</p>
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Categorize which of the following is not a place from which data can be collected.

<p>Abstract theory (B)</p>
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In data collection, which method is likely to provide results based on the manipulation of variables?

<p>Experiment (B)</p>
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What is the primary focus of descriptive statistics?

<p>Organizing, summarizing, and presenting data (A)</p>
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Which of the following is NOT a type of data mentioned?

<p>Anonymized data (A)</p>
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What is a characteristic of primary data?

<p>It involves direct observation and supervision (C)</p>
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Which application of statistics could involve census data?

<p>Government population studies (C)</p>
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What is the role of inferential statistics?

<p>To draw conclusions about populations from sample data (C)</p>
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Which of the following is an example of secondary data?

<p>Statistics published by the World Health Organization (B)</p>
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Which statement about statistical methods is false?

<p>Descriptive statistics collects data for future analysis. (B)</p>
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What is a disadvantage of using primary data?

<p>It involves significant time and labor to gather. (C)</p>
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What is the primary cause of selection bias?

<p>Some members of the target population cannot be selected (D)</p>
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What is a major characteristic of non-response error?

<p>It affects the accuracy of data collection (C)</p>
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What is the highest number of chairs recorded in the data?

<p>8 (C)</p>
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Which step is NOT part of forming frequency distributions?

<p>Select class intervals of varying sizes only (A)</p>
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How many rooms have exactly five chairs?

<p>6 (D)</p>
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If 10 class intervals are used for the weight data of the male students, what would the class interval size be?

<p>5 kg (B)</p>
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When constructing a frequency distribution, what is considered a convenient number of class intervals?

<p>5 to 20 (A)</p>
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Which error is associated with recording incorrect responses?

<p>Data acquisition error (C)</p>
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What is the cumulative frequency distribution table used for?

<p>To provide a detailed analysis including cumulative frequency and percentages. (A)</p>
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Which of the following statements is true about increasing the sample size with respect to selection bias?

<p>It has no effect on selection bias. (C)</p>
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What is the total number of homes surveyed about car registrations?

<p>20 (A)</p>
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From the scores provided, what is the lowest score recorded for the group of students?

<p>48 (A)</p>
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What is the first step in constructing a frequency distribution from a data set?

<p>Determine the largest and smallest numbers (B)</p>
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Which of the following is a method for constructing a frequency distribution?

<p>Determining the class interval size. (B)</p>
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In a frequency distribution, how are the class frequencies typically calculated?

<p>By using a tally or score sheet (D)</p>
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In a cumulative frequency distribution table, what does the cumulative percentage represent?

<p>The total percentage up to a specific class. (A)</p>
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Study Notes

Data and Statistics

  • Statistics is the science of collecting, organizing, presenting, and analyzing data to draw conclusions and make informed decisions.
  • Descriptive Statistics summarizes and presents data in a clear and concise way.
  • Inferential Statistics uses sample data to draw conclusions about larger populations.

Data

  • Data refers to pieces of information that represent qualitative or quantitative attributes of a variable or set of variables.
  • Primary Data is collected directly through observation, interviews, or questionnaires.
  • Secondary Data is obtained from published sources, like government reports or research articles.

Variable

  • A variable is a characteristic or attribute that can take on different values.
  • Continuous Variable can theoretically take on any value within a given range, like height or weight.
  • Discrete Variable can only take specific, distinct values, like the number of students or cars.
  • Constant is a variable that can only assume one value.
  • Quantitative Variables can be measured and compared numerically, like weight, age, or distance.
  • Qualitative Variables are categorical and describe qualities or characteristics, like gender, nationality, or marital status.

Data Collection Methods

  • Direct Observation: Observe events or phenomena directly.
  • Experiments: Control variables to study the effect of one variable on another.
  • Interviewing: Collect data through direct questions and answers.
  • Questionnaires: Gather data using written questions that respondents answer.
  • Abstraction from Published Statistics: Obtain data from existing reports and databases.

Errors in Data Acquisition

  • Errors in Data Acquisition: occur during the recording process, leading to inaccurate data. These can include incorrect measurements, transcription errors, or misinterpretation of data.
  • Non-Response Error: arises when a portion of the sample does not respond, leading to a biased representation of the population.
  • Selection Bias: occurs when the sampling plan prevents certain population members from being selected, resulting in an unrepresentative sample.

Data Presentation

  • Frequency Distributions: Group data into intervals (classes) to summarize the distribution of values.
  • Cumulative Frequency Distributions: Provide a running total of the frequencies for each class interval.

Key Concepts

  • Range: The difference between the highest and lowest values in a dataset.
  • Class Interval: The range of values within each class in a frequency distribution.
  • Frequency: The number of observations in a specific class interval.
  • Cumulative Frequency: The total number of observations up to and including a particular class interval.

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