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Mathematical Requirements for Research Methods

Fractions, percentages and estimating results

  • 3 things to know
  • Component 01

Overview

Recall questions on fractions and percentages of samples, pie chart angles, why percentages help compare groups, small-sample percentages, estimating ranges and means, impossible percentages, and converting between fractions, decimals and percentages.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

How do you convert a percentage of a sample into an angle for a pie chart?

Key term

What is the main danger of reporting a percentage from a very small sample?

Key term

A set of scores runs from a lowest value of 12 to a highest value of 47. Estimate the range.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    In a study of 24 participants, 18 obeyed. Give this as a fraction in its simplest form and as a percentage.

    Model answer

    It is three quarters of the sample, which is 75%.

  2. 2

    An observation sorts behaviours into three categories, with 40% in the first and 35% in the second. What percentage falls in the third?

    Model answer

    It is 25%, because the three categories must account for 100% of the behaviours.

  3. 3

    How do you convert a percentage of a sample into an angle for a pie chart?

    Model answer

    Multiply the percentage as a decimal by 360, so 15% becomes 54°.

  4. 4

    Why are percentages more useful than raw frequencies when comparing two groups of different sizes?

    Model answer

    They put both groups on the same scale of 100, so the proportions can be compared directly.

  5. 5

    What is the main danger of reporting a percentage from a very small sample?

    Model answer

    A single participant changes the percentage by a large amount, so the figure looks more precise and more stable than the data really is.

  6. 6

    What does it mean to estimate a result?

    Model answer

    To work out an approximate value using rounded figures, as a quick check on the size of the answer rather than an exact calculation.

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Range means the highest score minus the lowest score.
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