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Question

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

 



A

8.33

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B

78.00

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C

188.66

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D

177.33

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Solution

The correct option is B

78.00


x=170, x2=2830
Increase in x=3020=10, then
x=170+10=180
Increase in x2=302202=900400=500 then
x2=2830+500=3330
Variance =1nx2(1nx)2
=115×3330(115×180)2=222144=78


Mathematics

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