Calculate range and the coefficient of range of the following series:

Marks 10 20 30 40 50 60 70

Number of Students 15 18 25 30 16 10 9

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Solution

Marks 10 20 30 40 50 60 70

No. of Students 15 18 25 30 16 10 9

Here,
Highest value=70
Lowest value=10

Range (R) = Highest value (H) − Lowest Value (L)
= 70 − 10
= 60
$Coefficient of Range (CR) = \frac{70 - 10}{70 + 10} = \frac{60}{80} = 0.75$

Hence, the Range (R) of the above series is 60 and Coefficient of Range (CR) is 0.75

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Marks	10	20	30	40	50	60	70
No. of Students	15	18	25	30	16	10	9