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Applied Research Methods

Graphical Representation: Distribution Curves — what a distribution shows about a data set

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  • A2 Unit 4

Overview

Ten recall questions on graphical Representation: Distribution Curves — what a distribution shows about a data set.

What you need to know

Answer each one before you reveal it.

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Key term

In a positive skew, how do the mean, the median and the mode compare?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Describe a positively skewed distribution.

    Model answer

    Most of the scores bunch up at the low end of the scale and a long tail stretches away towards the high values on the right.

  2. 2

    In a positive skew, how do the mean, the median and the mode compare?

    Model answer

    The mode is the lowest of the three, the median lies between them, and the mean is the highest because it is dragged upwards by the extreme scores in the right-hand tail.

  3. 3

    A class sits a test that almost everyone finds far too hard. What shape will the distribution of marks take?

    Model answer

    It will be positively skewed, because the great majority of marks cluster near the bottom of the scale with only a few higher marks trailing off to the right.

  4. 4

    Describe a negatively skewed distribution.

    Model answer

    Most of the scores bunch up at the high end of the scale and a long tail stretches away towards the low values on the left.

  5. 5

    In a negative skew, how do the mean, the median and the mode compare?

    Model answer

    The mean is the lowest of the three because it is pulled down by the few very low scores, the median lies between them, and the mode is the highest.

  6. 6

    An easy test produces a ceiling effect. Which skew results, and why?

    Model answer

    A negative skew results, because nearly everyone scores at or close to the maximum, leaving only a small number of low scores to form the left-hand tail.

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