Question

Find the median of variants $5,7,8,11,13,17$ with frequencies $3,7,7,12,13,10$ respectively.

Answer 1

Given that variants $5,7,8,11,13,17$ with frequencies $3,7,7,12,13,10$ respectively.

x	f	Cumulative frequency
$5$	$3$	$3$
$7$	$7$	$10=3+7$
$8$	$7$	$17=10+7$
$11$	$12$	$29=17+12$
$13$	$13$	$42=29+13$
$17$	$10$	$52=42+10$

$\sum f=N=52$

$N=52$ -even

$\frac{N}{2}=\frac{52}{2}$

$={26}^{th}$ term

the cumulative frequency just gleater than $\frac{N}{2}$ value is $29$, and the value of x corresponding to $29$ is $11$.

therefore median is $11$.