Let X and M.D.

Question

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:

Accepted Answer

If each observation is increased by 5, the new mean is $\bar X+5$, and since mean deviation is invariant to translation (it depends only on relative spread), the new M.D. about the new mean remains M.D.

Solutions · 1