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Question

In an experiment with 15 observation on x, the following results were available
x2=2830,x=170 , one observation was that + 20 was found to be wrong and was replaced by the correct value 30, then the corrected variance is

A
188.66
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B
177.33
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C
8.33
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D
78
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Solution

The correct option is B 78
Incorrect x2=2830,n=15,x=170+(3020)=180
Correct x2=2830+(30)2(20)2=2830+500=3330
Correct variance is σ2=Corrected(x2)n(Correctedx2n)2
σ2=333015(18015)2=222144=78

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