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Question

The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate by step deviation method.

Literacy rate (in percentage)45555565657575858595Number of cities3101183


A
66.44
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B
69.43
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C
67.39
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D
71.55
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Solution

The correct option is B 69.43

The class size(h) is 55 – 45 = 10
(upper class limit - lower class limit)

Class mark(xi)=upper limit+lower limit2

Let the assumed mean(a) be 70 (Choose the number in order to get minimum values of d)

Class IntervalNumber of Frequency(fi)Class mark(xi)di=xiaui=dihfiui455535020265565106010110657511700007585880101885953902026Totalfi=35fiui=2

Mean (¯¯¯u)=a+(fiuifi)×h

=70+(2 35)×10

=(700.57)
=69.43


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