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Question

The variance of first 10 multiples of 3 is

A
64.25
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B
54.25
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C
70.25
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D
74.25
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Solution

The correct option is D 74.25
σ2=ni=1x2in¯¯¯x2
The sample data is 3,6,,30
¯¯¯x=3(1+2++10)10=16.5
10i=1x2i=9(10)(10+1)(2×10+1)6=3465
σ2=346510(16.5)2=74.25

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