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JEE MATHEMATICS MCQ: STATISTICS

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If a variate

X

is expressed as a linear function of two variates

{\cal U}\;and\;\;V

the form

X = a\;{\cal U} + b\;V,

then mean

\bar X\;of\,X

is

View answer and explanation

Correct option: A

a\bar {\cal U} + b\bar V

Option A (

a\bar {\cal U} + b\bar V

) is correct because the mean of a linear combination of variables is the same linear combination of their means.

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