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Mathematical Requirements for Psychology (Appendix A: AS Unit 2 and A2 Unit 4)

Handling Data: means, medians, modes and ranges, percentages and percentage change

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  • AS Unit 2 and A2 Unit 4

Overview

Recall questions on means, medians, modes, ranges, percentages and percentage change.

What you need to know

Answer each one before you reveal it.

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Study

A set of scores is 3, 5, 5, 7, 9, 12 and 60. Which measure of central tendency best represents it, and why?

Evaluation

A test returns p = 0.03 in a study using the 0.05 level of significance. Is the result significant?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Condition A produces the scores 12, 15, 11, 14 and 18. What is the mean?

    Model answer

    The scores total 70, so the mean is 14.

  2. 2

    Six participants have a mean score of 24. Five of them scored 22, 26, 19, 30 and 21. What did the sixth participant score?

    Model answer

    The six scores must total 144 and the five listed total 118, so the sixth participant scored 26.

  3. 3

    A frequency table gives the classes 0–4 (f = 6), 5–9 (f = 9), 10–14 (f = 11) and 15–19 (f = 4). How many participants scored below 10?

    Model answer

    15 participants scored below 10.

  4. 4

    When would a histogram be used to display a set of scores rather than a bar chart?

    Model answer

    A histogram is used for continuous data grouped into classes, so its bars touch, whereas a bar chart displays discrete or categorical data with separated bars.

  5. 5

    What does a significance level of p ≤ 0.01 mean, and how would you express it as a percentage?

    Model answer

    It means the probability of obtaining a result at least as extreme as the one observed, if the null hypothesis were true, is 1 in 100 or less — that is, 1%.

  6. 6

    A test returns p = 0.03 in a study using the 0.05 level of significance. Is the result significant?

    Model answer

    Yes, because 0.03 is smaller than 0.05, so the null hypothesis is rejected.

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Mathematical Requirements for Psychology (Appendix A: AS Unit 2 and A2 Unit 4)

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