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Stastics — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsStastics2 Marks
Question
Using the empirical relationship between the three measures of central tendency, find the median of a distribution, whose mean is $169$ and mode is $175.$
✓

Answer

Given, mean $= 169$ and mode $=175$
We know that,
$\therefore 3 \text { Median }=2 \text { Mean }+ \text { Mode }$
$\text { Median } =\frac{2 \text { Mean }+ \text { Mode }}{3}$
$ =\frac{2 \times 169+175}{3}$
$ =\frac{338+175}{3}$
$=\frac{513}{3}$
$=171$

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