JEE MATHEMATICS MCQ: STATISTICS

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Application +4 | -1

The mean and s.d. of a sample of size 10 were found
to be 9.5 and 2.5 respectively. Later on, an additional
observation 15 was added to the original data. The
s.d. of 11 observation is

View answer and explanation

Correct option: C

2.86

Option C (2.86) is correct because it is the standard deviation calculated after adding the additional observation and correcting the mean and variance.

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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