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Mathematical Requirements for Research Methods

Significant figures and calculating the mean

  • 3 things to know
  • Component 01

Overview

Recall questions on what a significant figure is, rounding values to two and three significant figures, reporting correlation coefficients and means sensibly, and calculating arithmetic means.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

Give 12,486 to three significant figures.

Numbers

How is the arithmetic mean calculated?

Key term

What is meant by a significant figure?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is meant by a significant figure?

    Model answer

    A digit that carries meaningful information about the precision of a value, counted from the first non-zero digit.

  2. 2

    Express 0.6837 to two significant figures and to three significant figures.

    Model answer

    To two significant figures it is 0.68, and to three it is 0.684.

  3. 3

    Round 0.04629 to two significant figures.

    Model answer

    To two significant figures it is 0.046.

  4. 4

    Give 12,486 to three significant figures.

    Model answer

    It is 1.25 × 10⁴, written in standard form so that exactly three significant figures are shown.

  5. 5

    To how many significant figures is a correlation coefficient normally reported?

    Model answer

    To two or three significant figures.

  6. 6

    Why should a calculated mean not be quoted to six decimal places?

    Model answer

    The answer cannot be more precise than the data it came from, so extra digits imply an accuracy the measurements do not have.

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