JEE MATHEMATICS MCQ: STATISTICS

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Application +4 | -1

If the data

{x_1},{x_2},...,{x_{10}}

is such that the mean of first four of these is 11, the mean of the remaining six is 16 and the sum of squares of these is 2000, then the standard deviation of this data is

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Correct option: B

Option B (2) is correct because it is the standard deviation calculated from the given data, using the formula for standard deviation.

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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