Calculate the range and coefficient of range from the following data:
Marks scored by $12$ students in a test: $31, 18, 27, 19, 25, 28, 49, 14, 41, 22, 33, 13$

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Solution

$X_{m i n} = 13, X_{m a x} = 49$
So, Range $= X_{m a x} - X_{m i n} = 49 - 13 = 36$
Coefficient of range $= \frac{X_{m a x} - X_{m i n}}{X_{m a x} + X_{m i n}} = \frac{49 - 13}{49 + 13} = \frac{36}{62} = 0.58$

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