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Data Handling, Statistics and Mathematical Skills

Descriptive statistics: Measures of central tendency

  • 3 things to know
  • Component 2

Overview

Recall questions on Descriptive statistics: Measures of central tendency.

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Answer each one before you reveal it.

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Numbers

State the formula for the mean.

Numbers

Calculate the mean of the scores 7, 9, 12, 14 and 18.

Key term

How is the median found?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is a measure of central tendency?

    Model answer

    It is a single value that summarises a data set by representing the typical or average score.

  2. 2

    State the formula for the mean.

    Model answer

    The mean is x̄ = Σx / n, the sum of all the scores divided by the number of scores.

  3. 3

    Calculate the mean of the scores 7, 9, 12, 14 and 18.

    Model answer

    The scores total 60 and there are 5 of them, so the mean is 12.

  4. 4

    How is the median found?

    Model answer

    The scores are placed in order of size and the middle value is taken; with an even number of scores the two middle values are averaged.

  5. 5

    Find the median of 4, 6, 9, 11, 15 and 16.

    Model answer

    The two middle scores are 9 and 11, so the median is 10.

  6. 6

    Find the mode of 3, 5, 5, 7, 8, 9, 9, 9 and 12.

    Model answer

    The mode is 9, because it occurs three times and no other score occurs as often.

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AThe mean of condition A is 15.
BThe mean of condition B is 10.
CThe difference between them is 5.

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