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Question

The prices of a movie ticket in 6 different movie theatres are Rs 50, Rs 80, Rs 120, Rs 200, Rs 100 and Rs 170. Find the standard deviation of the prices using the step-deviation method.

A
51.31
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B
62.56
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C
66.45
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D
70.82
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Solution

The correct option is C 51.31
Here, all observations are divisible by 10. Choose the common factor (c) as 10.

Mean, ¯X=50+80+120+200+100+1706=7206=Rs 120

Factored mean, ¯x=12010=12

XX=Xcd=x¯xd2505749808416120120020020864100102417017525d2=158

σ=d2N×c=1586×10=5.131×10=51.31

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