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13. statistics — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHS13. statistics1 Mark
MCQ
Let $\bar X$ and $M.D.$ be the mean and the mean deviation about $\bar X$ of $n$ observations $x_i,$ $i = 1, 2,........ , n.$ If each of the observations is increased by $5,$ then the new mean and the mean deviation about the new mean, respectively, are
  • A
    $\bar X,M.D.$
  • ✓
    $\bar X + 5,M.D.$
  • C
    $\bar X,M.D. + 5$
  • D
    $\bar X + 5,M.D. + 5$
✓

Answer

Correct option: B.
$\bar X + 5,M.D.$
b
Let ${{x_i}}$ be $n$ observations, $i = 1,2,...n$

Let ${\bar X}$ be the mean and $M.D.$be the mean deviation about ${\bar X}$.

If each observation is incerased by $5$

then new mean will be $\bar X + 5$ and new $M.D.$ about new mean wil be $M.D.$

($\because $ Mean $ = \sum\limits_{i = 1}^n {\frac{{{x_i}}}{n}} $)

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