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Data Recording, Analysis and Presentation

Measures of dispersion

  • 3 things to know
  • Component 01

Overview

Recall questions on measures of dispersion, calculating and evaluating the range, the variance and standard deviation, and what large and small standard deviations show about a set of scores.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Key term

Why is the standard deviation usually reported rather than the variance?

Key term

What is a measure of dispersion?

Key term

How is the range calculated?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is a measure of dispersion?

    Model answer

    A value showing how widely spread out the scores in a data set are.

  2. 2

    How is the range calculated?

    Model answer

    The lowest score is subtracted from the highest score in the data set.

  3. 3

    Give one strength and one weakness of the range.

    Model answer

    It is quick to calculate, but it uses only two scores so a single extreme value distorts it.

  4. 4

    What is the variance?

    Model answer

    A measure of dispersion equal to the sum of the squared deviations of the scores from their mean, divided by one less than the number of scores.

  5. 5

    State the relationship between the variance and the standard deviation.

    Model answer

    The standard deviation is the square root of the variance.

  6. 6

    Why is the standard deviation usually reported rather than the variance?

    Model answer

    The standard deviation is expressed in the same units as the original scores, so it is much easier to interpret.

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Range means the highest score minus the lowest score.
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