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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+(235)×10
=(700.57)
=69.43


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