JEE MATHEMATICS MCQ: STATISTICS

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Application +4 | -1

The mean square deviation of a set of

n

observations

x_1, x_2, \ldots, x_n

about a point

c

is defined as

\frac{1}{n} \sum\limits_{{i=1}}^n\left(x_i-c\right)^2

The mean square deviation about

-2

and

2

are 18 and 10 respectively, then standard deviation of this set of observation is

View answer and explanation

Correct option: A

Option A (3) is correct because, by using the given mean square deviations about -2 and 2, we can find the mean and then the standard deviation of the set of 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