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JEE MATHEMATICS MCQ: STATISTICS

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The variance of 20 observations is 5. If each observation is multiplied by 2 then the new variance of the
resulting observations, is:

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Correct option: C

20

Option C (20) is correct because when each observation is multiplied by a constant, the variance is multiplied by the square of that constant.

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If the mean of a set of observations

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\bar X,

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is The sum of 10 items is 12 and sum of their squares is 18 , then standard deviation will be In a family, there are 8 men, 7 women and 5 children whose mean ages separately are respectively 24,20 and 6 years. The mean age of the family is The mean and variance of seven observations are 8 and 16, respectively. If 5 of the observations are 2, 4, 10, 12, 14, then the product of the remaining two observations is

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the s.d. of the new set of observations will be