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Quantitative and Qualitative Data

Distributions: normal and skewed distributions

  • 4 things to know
  • Paper 2

Overview

The shape of a normal distribution and the proportion of scores within each standard deviation, positive and negative skew, and which tests assume normality.

What you need to know

Answer each one before you reveal it.

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Key term

Describe a normal distribution.

Numbers

What proportion of scores lies within one, two and three standard deviations?

Key term

Describe a positively skewed distribution.

Key term

Which tests assume a normal distribution, and which do not?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is a normal distribution?

    Model answer

    A symmetrical, bell-shaped frequency distribution where data clusters around a central mean value.

  2. 2

    Describe the shape of a normal distribution curve.

    Model answer

    It is symmetrical and bell-shaped, with data clustering around the centre.

  3. 3

    In a normal distribution, what is the relationship between the mean, median, and mode?

    Model answer

    They are all equal and located at the centre of the distribution.

  4. 4

    Where are the mean, median, and mode positioned in a perfectly normal distribution?

    Model answer

    All three are at the same central point of the distribution.

  5. 5

    What percentage of data falls within one standard deviation of the mean in a normal distribution?

    Model answer

    Approximately 68%.

  6. 6

    In a normal distribution, approximately what proportion of scores lie within two standard deviations of the mean?

    Model answer

    Approximately 95%.

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