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Question

In an experiment with 15 observations, the results are as follows:x2=2830, x=170.One observation that was 20 was found to be wrong and was replaced by the correct value 30. Then the corrected variance is

A
78.00
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B
188.66
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C
177.33
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D
8.33
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Solution

The correct option is A 78.00
n=15;x2=2830;x=170(x2) Corrected=2830(20)2+(30)2=3330(x) Corrected=17020+30=180σ2=333015=(18015)2 σ2=x2n=(xn)2=222144=78

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