Find the median of the following data.
$x$ $10$ $20$ $30$ $40$ $50$
$f$ $2$ $3$ $2$ $3$ $1$

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Solution

Median is $30$ as the given data is already in increasing order.

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32.5

Class interval:	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	Total
Frequency:	$f_{1}$	$5$	$9$	$12$	$f_{2}$	$3$	$2$	$40$

Height(cm)	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$
Number of players	$3$	$6$	$2$	$5$	$10$	$4$

Class interval:	0−10	10−20	20−30	30−40	40−50	50−60	60−70	Total
Frequency:	f₁	5	9	12	f₂	3	2	40

215

k

Class	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
F	$6$	$4$	$3$	$k$	$2$

Time(min)	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
Running race(km)	$10$	$20$	$3$	$4$

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