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Question

Find the mean of the data given in the table using step - deviation method.
Class IntervalFrequency0−101010−201220−30730−40640−50550−608


A
35
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B
26.67
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C
30.33
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D
28
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Solution

The correct option is B 26.67

Class InternalMid value(xi)Frequency(fi)u=xiahfiui01051033010201512224203025717304035=a6004050455155060558216Total fi=48u=3 fiui=40

Let the assumed mean (a) = 35.
Class width (h) = 10 - 0 = 10

Mean=a+fiuifi×h

=35+4048×10

=35+(8.33)

=358.33

=26.67


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