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Quantitative and Qualitative Data

Descriptive statistics: measures of central tendency and measures of dispersion

  • 4 things to know
  • Paper 2

Overview

The mean, median and mode and when each suits the data, and the range and standard deviation as measures of spread.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Process

How is the mean calculated?

Key term

Define the median.

Key term

What is the mode, and which data suits it?

Evaluation

Why is standard deviation more representative than the range?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    After summing all values in a data set, what must you do to complete the calculation of the mean?

    Model answer

    Divide the sum by the number of values (n).

  2. 2

    State the formula for calculating the mean.

    Model answer

    x̄ = Σx / n (sum of all values divided by the number of values).

  3. 3

    Calculate the mean when value 1 = 36, value 2 = 21, value 3 = 46, value 4 = 40, value 5 = 11.

    Model answer

    Mean = (36 + 21 + 46 + 40 + 11) ÷ 5 = 30.8.

  4. 4

    Define the median.

    Model answer

    The median is the middle value when all scores are arranged in order.

  5. 5

    When finding the median with an odd number of values, what must you do first?

    Model answer

    Arrange the values in ascending or descending order.

  6. 6

    Once values are arranged in order for an odd-numbered data set, how do you identify the median?

    Model answer

    Select the value in the central position.

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AThe mean is the arithmetic average of a data set.
BEvery value in the set is added together.
CThe total is divided by the number of values.

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