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Working Scientifically: Practical Skills

Numeracy in Practical Contexts, Research and Referencing: Analysing Data, Margins of Error and Accuracy

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Overview

Recall questions on Analysing Data, Margins of Error and Accuracy.

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Key term

Which test would you select to find out whether stomatal density is associated with light intensity along a transect?

Key term

Define the range and the standard deviation of a set of data.

Key term

When is a chi-squared test used?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    How is an arithmetic mean calculated, and to how many figures should it be given?

    Model answer

    The values are added together and divided by the number of values, and the answer is given to the same number of significant figures as the raw measurements.

  2. 2

    When is the median a more useful measure than the mean?

    Model answer

    The median is more useful when the data are skewed or contain an extreme value, because it is not distorted by that value.

  3. 3

    Define the range and the standard deviation of a set of data.

    Model answer

    The range is the difference between the largest and the smallest value, while the standard deviation is a measure of how widely the individual values are spread about the mean.

  4. 4

    Why is standard deviation usually a better measure of dispersion than range?

    Model answer

    Standard deviation is calculated from every value, so it is not determined by just two extreme readings and it shows how typical the mean really is.

  5. 5

    What does a small standard deviation tell you about a set of results?

    Model answer

    It tells you that the individual values lie close to the mean, so the data are precise and the mean is a reliable summary of them.

  6. 6

    When is a chi-squared test used?

    Model answer

    A chi-squared test is used with frequencies in categories to decide whether the numbers observed differ significantly from the numbers expected, as when checking the ratio of phenotypes in a genetic cross.

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