Q1 of 37 Page 295

Find the range and coefficient of range of the following data.

59, 46, 30, 23, 27, 40, 52, 35, 29

Given the set of data 59, 46, 30, 23, 27, 40, 52, 35, 29.


Let the maximum value in the data set be denoted by xmax and minimum by xmin


Range = Maximum value in the data set – Minimum value in the data set


= xmax - xmin


= 59 – 23


= 36


∴ Range R = 36


Let the Coefficient of Range be denoted by s.


s =


=


=


= 0.439≈0.44


∴ s = 0.44


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1

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41.2, 33.7, 29.1, 34.5, 25.7, 24.8, 56.5, 12.5

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The largest of 50 measurements is 3.84 kg. If the range is 0.46 kg, find the smallest measurement.

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