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Question

[dummy] The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate by step deviation method.
Literacy rate (in %)No. of cities445535565106575117585885953

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
Literacy rate(in %)45555565657575858595Number of cities3101183
Class mark(for 1st class interval)
=upper class limit + lower class limit2=45+552=50

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

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

Class intervalFrequency(fi)Class mark(xi)di=xiaui=dihfiui455535020265565106010110657511700007585880101885953902026Totalfi=35fiui=2Mean(u)=a+(fiuifi)×h=70+(235)× 10=(700.57)=69.43

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