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Question

The distribution of the number of hours spent at work in a year by 60 people is given below. Calculate the standard deviation using step deviation method.

No. of hours05005001000100015001500200020002500No. of people61215189


A

588

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B

604

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C

622

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D

645

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Solution

The correct option is D

604


Let the assumed mean be 1250 i.e. A = 1250 and the dividing factor (c) be 500.

XFDD=DcFDFD22506100021224750125001121212501500001750185001181822509100021836F=60FD=12FD2=90

σ=FD2F(FDF)2×c=9060(1260)2×500=1.50.04×500=1.46×500=1.208×500=604


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