JEE-Level Application Problems

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1.
The mean of 5 observations is 4 and their variance is 5.2. If three are 1, 2, 6, the other two are:
2.
If the variance of first n even natural numbers is 8/3, then n is:
3.
Mean of n items is x-bar. When an item 20 was replaced by 12, the mean decreased by 2. Then n =
4.
The mean of 40 observations was 160. It was later discovered that the value 165 was wrongly copied as 125. Correct mean:
5.
Mean and variance of 7 observations are 8 and 16. If 5 observations are 2,4,10,12,14, the product of the remaining two is:

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