JEE MATHEMATICS MCQ: STATISTICS

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\sum\limits_{i = 1}^9 {\left( {{x_i} - 5} \right) = 9\mathrm{ }}

and

\sum\limits_{i = 1}^9 {{{\left( {{x_i} - 5} \right)}^2} = 45}

, then the standard deviation of the 9 items then the standard deviation of the 9 items

{x_1},{x_2},...,{x_9}

View answer and explanation

Correct option: C

Option C (2) is correct because the standard deviation is calculated using the given sums and remains unchanged when observations are shifted by a 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