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Measures of spread

There are three measures of spread used in National 5 Lifeskills Maths.

  • range
  • semi-interquartile range
  • standard deviation

The range includes extreme values.

The semi-interquartile range ignores extreme values.

Look at this set of data \(1,5,7,8,9,12,13,15,17,18,35\)

The range is \(35-1=34\)

The semi-interquartile range is \(\frac{1}{2}\times (17-7) = 5\). In cases like these it's often preferable to use the semi-interquartile range when you're comparing data.

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