JEE Main 2014 · 12 Apr · Shift 1 · Mathematics Q86

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MathematicsSingle correct+4 / -1Question 86 of 90

Let $\bar X$ and M.D. be the mean and the mean deviation about $\bar X$ of n observations $x_i$ , $i=1,2,\dots,n$ . If each of the observations is increased by 5, then the new mean and the mean deviation about the new mean, respectively, are :

\bar X

, M.D.

\bar X+5

, M.D.

\bar X

, M.D. + 5

\bar X+5

, M.D. + 5

Answer and worked solution

Official answer: B

Adding 5 to every observation shifts the mean by 5 and leaves every deviation from the mean unchanged. New values: $\bar X+5$ and M.D.

Topics:Measures of central tendency

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JEE Main 2014 · 12 Apr · Shift 1, Mathematics question 86