JEE MATHEMATICS MCQ: STATISTICS

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Application +4 | -1

The weighed mean of first

n

natural numbers whose weights are equal to the squares of corresponding numbers is

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Correct option: B

\frac{3 n(n+1)}{2(2 n+1)}

Option B (

\frac{3 n(n+1)}{2(2 n+1)}

) is correct because it represents the weighted mean calculated by dividing the sum of the product of each number and its weight by the sum of the weights.

More Questions from STATISTICS

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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