Statistics Chapter: Levels of Measurement & Sampling
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Questions and Answers

What type of measurement level is represented by letter grades like A, B, C, D, and F?

  • Ratio
  • Interval
  • Nominal
  • Ordinal (correct)
  • Which of the following variables is classified as a ratio level measurement?

  • Height (correct)
  • ACT Score
  • Hair Color
  • Temperature in Celsius
  • What distinguishes interval measurement from ratio measurement?

  • Interval can be ranked.
  • Interval has no meaningful zero. (correct)
  • Interval measures quantities without differences.
  • Interval has a true zero.
  • Which variable is classified as nominal?

    <p>Zip Code</p> Signup and view all the answers

    Temperature is classified under which level of measurement?

    <p>Interval</p> Signup and view all the answers

    Age as a variable is classified at which measurement level?

    <p>Ratio</p> Signup and view all the answers

    Which of the following is true about ratio measurement?

    <p>It possesses all characteristics of interval measurement, plus a true zero.</p> Signup and view all the answers

    What is the primary characteristic that differentiates ordinal measurement from nominal measurement?

    <p>Ordinal measurement can be ranked.</p> Signup and view all the answers

    What is the main purpose of the airline company conducting a survey on meal satisfaction?

    <p>To evaluate customer satisfaction with meals</p> Signup and view all the answers

    Which sampling technique involves selecting participants based on their availability and ease of access?

    <p>Convenience sampling</p> Signup and view all the answers

    What does the term 'sampling error' refer to in statistical sampling?

    <p>The discrepancy between sample results and population results</p> Signup and view all the answers

    If a survey finds that 56% of a sampled group are female, but later analysis shows that the actual population percentage is 54%, what is the magnitude of the sampling error?

    <p>2%</p> Signup and view all the answers

    What type of sampling would an airline use if they randomly select four flights from all flights that day?

    <p>Random sampling</p> Signup and view all the answers

    What type of variable is 'Height' classified as?

    <p>Ratio</p> Signup and view all the answers

    Which sampling technique selects every kth member from the population?

    <p>Systematic sampling</p> Signup and view all the answers

    Which of the following is an example of an interval level variable?

    <p>Temperature (F)</p> Signup and view all the answers

    What is defined as how many times an element is repeated?

    <p>Frequency</p> Signup and view all the answers

    What does stratified sampling involve?

    <p>Dividing the population into subgroups and sampling from each</p> Signup and view all the answers

    What is the term for the smallest and largest numbers of a class?

    <p>Class limit</p> Signup and view all the answers

    How is the upper class boundary determined?

    <p>Lower limit plus 0.5</p> Signup and view all the answers

    Which variable is classified as nominal?

    <p>Hair Color</p> Signup and view all the answers

    Which level of measurement has true zero and consistent ratios?

    <p>Ratio</p> Signup and view all the answers

    What distinguishes ratio variables from interval variables?

    <p>Ratio variables have a true zero point, but interval variables do not.</p> Signup and view all the answers

    What distinguishes ordinal measurement from nominal measurement?

    <p>It allows for ranking in order.</p> Signup and view all the answers

    Which of the following correctly describes cluster sampling?

    <p>It selects entire groups or sections as the sample.</p> Signup and view all the answers

    In which of the following scenarios would you use random sampling?

    <p>When every individual in the population has an equal chance of selection.</p> Signup and view all the answers

    In terms of class boundaries, what is the difference between upper and lower class boundaries?

    <p>Upper boundaries are equal to lower boundaries of the next class.</p> Signup and view all the answers

    Class long is defined as what?

    <p>The difference between class boundaries</p> Signup and view all the answers

    What type of data is classified as nominal?

    <p>Data in non-overlapping categories</p> Signup and view all the answers

    Study Notes

    Levels of Measurement

    • Nominal: Categorical data with no inherent order. Examples: Hair colors, zip codes.
    • Ordinal: Categorical data with a clear order or ranking, but the differences between ranks may not be equal or measurable. Examples: Letter grades (A, B, C, D, F), bag sizes (small, medium, large).
    • Interval: Data with equal intervals between units, but no true zero. Examples: Temperature in Fahrenheit or Celsius, since 0 degrees does not mean the absence of heat.
    • Ratio: Possesses all characteristics of Interval, plus a true zero point. Examples: Height, weight, age, and number of phone calls received.

    Sampling Techniques

    • Random: Each member of the population has an equal chance of being selected.
    • Systematic: Selecting every kth member of the population, where k is a counting number.
    • Stratified: Dividing the population into subgroups (strata) based on relevant characteristics and then sampling from each subgroup.
    • Cluster: Dividing the population into clusters, selecting a few clusters at random, and including all members of those selected clusters in the sample.
    • Convenient: Using subjects who are easily accessible, such as individuals in a mall.
    • Sampling Error: The difference between a sample's results and the true population results.

    Data Organization

    • Variable: A characteristic or attribute that can assume different values. Recorded data.
    • Data: Values a variable can take. Examples: Raw data, historical data, known data.
    • Classes: Groups or categories data is split into.
    • Class Limits: The smallest and largest numbers in a class.
    • Class Long: The difference between the lower limit and upper limit of a class.
    • Class Boundary: Lower boundary or upper boundary; always +- 0.5
    • Lower Class Boundary: Lower limit minus 0.5
    • Upper Class Boundary: Upper limit plus 0.5
    • Frequency: How many times an element is repeated in a data set.

    Important notes

    • The upper limit of a class is not the same as the lower limit of the next class.
    • The upper boundary of a class is the same as the lower boundary of the next class.
    • All classes should have the same class long.

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    Related Documents

    NMU_Week 3 Stats.pdf

    Description

    This quiz covers key concepts from statistics, focusing on levels of measurement, such as nominal, ordinal, interval, and ratio scales. Additionally, it reviews various sampling techniques including random, systematic, stratified, and cluster sampling. Test your knowledge and understanding of these foundational principles!

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