JEE MATHEMATICS MCQ: STATISTICS

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The mean height of 25 male workers in a factory is
161 cms, and the mean height of 35 female workers
in the same factory is 158 cms. The combined mean
height of 60 workers in the factory is

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Correct option: A

159.25

Option A (159.25) is correct because the combined mean is calculated by taking the weighted average of the means of the two groups.

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If the mean of a set of observations

{x_1},{x_2}, \ldots ,{x_n}

\bar X,

then the mean of the observations

{x_i} + 2\;i;i = 1,\;2, \ldots ,n

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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-2,

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