Statistics: Let bar X and M.D. be the mean and the mean deviation about bar X of… | JEE Main 2014

JEE Main 2014 (Online) 12th AprilQuestion 1

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

Statistics

$\bar X$, $M.D.$$\bar X+5$, $M.D.$✓ Correct answer$\bar X$, $M.D.+5$$\bar X+5$, $M.D.+5$

Solution

Adding $5$ shifts the mean to $\bar X+5$; deviations from the mean are unchanged, so M.D. is unchanged.

Statistics - JEE Mathematics question (JEE Main 2014 (Online) 12th April)

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