1.

Evaluate out range and coefficient of range of the marks.Marks5−910−1415−1920−2425−2930−34No. Students463264

Answer»

To get the range and its coefficient, first we have to convert inclusive class intervals into exclusive class intervals.

Class IntervalExclusive Class IntervalFrequency
5 − 94.5 − 9.54
10 −149.5 − 14.56
20 −2419.5 − 24.52
25 −2924.5 − 29.56
30− 3429.5 − 34.54

Range = Upper limit of the highest class interval − Lower limit of the lowest class intervalor, Range = 34.5 − 4.5 = 30 

Coefficient or Range = \(\frac{H-L}{H+L}=\frac{34.5-4.5}{34.5+4.5}=\frac{30}{39}\) = 0.769

Hence, the range is 730 marks and coefficient of range is 0.769.


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