Find the median class of the following distribution.
Weight (in $k g$ ) Number of students
$45 - 47$ $7$
$47 - 49$ $5$
$49 - 51$ $8$
$51 - 53$ $12$
$53 - 55$ $10$
$55 - 57$ $2$
$57 - 59$ $1$

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Solution

$\begin{matrix} N = 45 \Rightarrow \frac{N}{2} = \frac{45}{2} = 22.5 \Rightarrow c o m m u l a t i v e f r e q u e n c y j u s t m o r e t h a n 22.5 i s (32) \Rightarrow a n d i t s i n t e r v a l (5^{1} - 5^{3}) \Rightarrow∴ l = 51, f = 12, F = 20, i = 2 \Rightarrow M e d i a n (M) = l + \frac{(\frac{N}{2} - F)}{f} \times i = 51 + \frac{(22.5 - 20)}{12} \times 2 = 51 + \frac{(2.5)}{6} = 51 + 0.42 M e d i a n (M) = 51.42 A n s . \end{matrix}$

Suggest Corrections

Weight	$45$	$46$	$47$	$48$	$49$	$50$	$51$	$52$	$53$
Median	$6$	$2$	$3$	$4$	$7$	$4$	$7$	$4$	$3$