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Q.

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

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a

188.66

b

177.33

c

8.33

d

78.00

answer is D.

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Detailed Solution

∑x2=2830,∑x=170 Increase in ∑x=10 and ∑x'=170+10=180 Increase in ∑x2=900−400=500 , then ∑x'2=2830+500=3330              =115×3330−(115×180)2              =222−(12)2               = 78
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