JEE MATHEMATICS MCQ: STATISTICS

1 Medium

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Analyzing +4 | -1

Let the mean and variance of 12 observations be

\frac{9}{2}

and 4 respectively. Later on, it was observed that two observations were considered as 9 and 10 instead of 7 and 14 respectively. If the correct variance is

\frac{m}{n}

, where

m

and

n

are coprime, then

m+n

are coprime, then

m+n

is equal to

View answer and explanation

Correct option: D

317

Option D, 317, is the correct value of

m+n

where the corrected variance is

\frac{m}{n}

and

m

and

n

are coprime. This is calculated by first finding the correct mean and then the correct variance after adjusting for the incorrect observations.

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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

1,3,5, x, y

are 5 observations. Mean of these observations is 5 and variance is 8. Sum of the cubes of the two missing number equals: If s.d. of a set of observations is 8 and if each observation is divided by

-2,

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