Given the following data-set, calculate range and the coefficient of range:

Size 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5

Frequency 4 5 6 3 2 1 3 5

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Solution

Highest value (H) = 11.5
Lowest value (L) = 4.5
Range = Highest value − Lowest value
i.e. R = H − L
or, R = 11.5 − 4.5 = 7
$Coefficient of Range = \frac{H - L}{H + L} = \frac{11.5 - 4.5}{11.5 + 4.5} = \frac{7}{16} = 0.437$
Note- As the given data series is a discrete series, where in order to calculate Range, frequencies are not taken into account. Hence, in this case, the formula for Range remains the same as it is for the individual series.

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Given the following data-set, calculate range and the coefficient of range: Size 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 Frequency 4 5 6 3 2 1 3 5

Given the following data-set, calculate range and the coefficient of range:

Size 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5

Frequency 4 5 6 3 2 1 3 5