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Data Handling, Statistics and Mathematical Skills

Descriptive statistics: Measures of dispersion and Calculating from a set of results

  • 3 things to know
  • Component 2

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Recall questions on Measures of dispersion and Calculating from a set of results.

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Answer each one before you reveal it.

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Key term

How is the range calculated?

Key term

The highest score in a set is 27 and the lowest is 8. State the range.

Numbers

State the formula for the standard deviation of a sample.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is a measure of dispersion?

    Model answer

    It is a value that describes how spread out a set of scores is around the central value.

  2. 2

    How is the range calculated?

    Model answer

    The range is the lowest score subtracted from the highest score.

  3. 3

    The highest score in a set is 27 and the lowest is 8. State the range.

    Model answer

    The range is 19.

  4. 4

    What is the main weakness of the range?

    Model answer

    It is based on only the two most extreme scores, so one unusual value can make the spread look far larger than it really is.

  5. 5

    What does the standard deviation tell you about a set of scores?

    Model answer

    It tells you the average amount by which the scores deviate from the mean of the set.

  6. 6

    State the formula for the standard deviation of a sample.

    Model answer

    The standard deviation is s = √( Σ(x − x̄)² / (n − 1) ).

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AThe mean of condition A is 15.
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The range uses only the two extreme scores.
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