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Question

Find the standard deviation for the following data.

Wages(in Rs.)200300300400400500500600600700No.of Labourers3520106

A
89.7
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B
95.4
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C
99.83
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D
104.72
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Solution

The correct option is D 104.72
XFFXD=X¯XD2FD22503750225506251518753505175012515625781254502090002562512500550105500755625562506506390017530625183750F=44FX=20900FD2=482500

Mean, ¯X=FXF=2090044=475

σ=FD2F=48250044=10965.91=104.72

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