If the mean of a set of observations ${x_1},{x_2}, \ldots ,{x_n}$ is $\bar X,$ then the mean of the observations${x_i} + 2\;i;i = 1,\;2, \ldots ,n$ is

JEE MATHEMATICS MCQ: STATISTICS

1 Easy

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Application +4 | -1

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

View answer and explanation

Correct option: C

\bar X + \left( {n + 1} \right)

Option C (

\bar X + (n + 1)

) is correct because adding 2i to each observation increases the mean by the average of 2i, which is n+1.

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