JEE MATHEMATICS MCQ: STATISTICS

1 Medium

1 of 1

Application +4 | -1

Let

x_1, x_2, \ldots, x_{100}

be in an arithmetic progression, with

x_1=2

and their mean equal to 200 . If

y_i=i\left(x_i-i\right), 1 \leq i \leq 100

, then the mean of

y_1, y_2, \ldots

y_{100}

View answer and explanation

Correct option: C

10049.5

Option C (10049.5) is correct because it is the result of calculating the mean of the given series using the properties of arithmetic progressions and summation formulas.

More Questions from STATISTICS

Practice All Chapter MCQs →

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