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Practical Skills and Mathematical Requirements

Averages, spread and statistical tests

  • 3 things to know
  • Components 01, 02 and 03

Overview

Recall questions on the mean, median, mode and range, calculating standard deviation, correlation and causation, and choosing and interpreting the t-test and Spearman's rank correlation coefficient.

What you need to know

Answer each one before you reveal it.

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Process

Find the mean, median and mode of seedling heights of 4, 5, 5, 6 and 20 cm.

Process

What does standard deviation measure?

Process

What types of correlation can a scattergram show?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Calculate the mean number of stomata per field of view when the counts are 12, 15, 9, 14 and 10.

    Model answer

    Mean = (12 + 15 + 9 + 14 + 10) ÷ 5 = 60 ÷ 5 = 12.

  2. 2

    Define the median and the mode of a set of data.

    Model answer

    The median is the middle value when the data are placed in rank order; the mode is the value that occurs most often.

  3. 3

    Find the mean, median and mode of seedling heights of 4, 5, 5, 6 and 20 cm.

    Model answer

    Mean = 40 ÷ 5 = 8 cm; median = 5 cm; mode = 5 cm.

  4. 4

    Why is the median sometimes a better average than the mean?

    Model answer

    The median is not pulled towards an extreme value, so it better represents data that contain an outlier or are skewed.

  5. 5

    What does the range of a data set show, and what is its limitation?

    Model answer

    The range, the largest value minus the smallest, shows the spread of the data, but it depends only on the two extreme values, so a single outlier distorts it.

  6. 6

    What does standard deviation measure?

    Model answer

    The spread of data about the mean; a small standard deviation shows that values are clustered closely around the mean.

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