The mean of the n observations ${x_1},{x_2},{x_3}, \ldots ,\;{x_n}$ be ${\bar x}$. Then , the mean of n observations $2{x_1} + 3,\;2{x_2} + 3,\;2{x_3} + 3,\; \ldots ,\;2{x_n} + 3$ is

JEE MATHEMATICS MCQ: STATISTICS

1 Easy

1 of 1

Application +4 | -1

The mean of the n observations

{x_1},{x_2},{x_3}, \ldots ,\;{x_n}

{\bar x}

. Then , the mean of n observations

2{x_1} + 3,\;2{x_2} + 3,\;2{x_3} + 3,\; \ldots ,\;2{x_n} + 3

View answer and explanation

Correct option: B

2\bar x + 3

Option B (

\2\bar x + 3

) is correct because multiplying each observation by 2 multiplies the mean by 2, and adding 3 to each observation adds 3 to the mean.

Practice All Chapter MCQs →

{x_1},{x_2}, \ldots ,{x_n}

\bar X,

{x_i} + 2\;i;i = 1,\;2, \ldots ,n

1,3,5, x, y

-2,