JEE MATHEMATICS MCQ: STATISTICS

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Understanding +4 | -1

Let

\overline{\mathrm{X}}

and M.D. be the mean and the mean deviation about

\overline{\mathrm{X}}

\mathrm{n}

observations

\mathrm{x}, \mathrm{i}=1,2

n

. If each of the observations is increased by 5 , then the new mean and the mean deviation about the new mean, respectively, are:

View answer and explanation

Correct option: B

\bar{X}+5, \mathrm{M}, \mathrm{D}

Option B (

\bar{X}+5, \mathrm{M}, \mathrm{D}

.) is correct because adding a constant to each observation increases the mean by the same constant, but the mean deviation remains unchanged.

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