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Question

If 10i=1(x115)=12 and 10i=1(xi15)2=18, then the S.D. of observations x1,x2.............x10 is

A
25
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B
35
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C
45
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D
none of these
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Solution

The correct option is A 35
Given 10i=1(xi15)=12 and 10i=1(xi15)2=18

10i=1xi10i=115=12 and 10i=1x2i3010i=1xi+10i=1225=18
10i=1xi=12+150=162
Now 10i=1x2i=3010i=1xi10i=1225+18=30×162+18225×10=2628
Hence required S.D =262810(16210)2=925=35

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