Find the median for the following frequency distribution table:
Class-interval $0 - 5$ $5 - 10$ $10 - 15$ $15 - 20$ $20 - 25$ $25 - 30$
Frequency $5$ $3$ $9$ $10$ $8$ $5$

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Solution

$C I$

0-5

5-10

10-15

15-20

20-25

25-30

$F$

5

3

9

10

8

5

$C F$

5

8

17

27

35

40

$\frac{N}{2} = \frac{40}{2} = 20$ lies in CF $27$ so, $15 - 20$ is Median class

So, Median $= L + (\frac{(n / 2) - C f}{F}) \times H$

$= 15 + (\frac{20 - 17}{10}) \times 5$

Median $16.5$

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Similar questions

Find the median for the following frequency distribution table:

Class-intervals	0 - 5	5 -10	10 - 15	15 - 20	20 - 25	25 - 30
Frequency	5	3	9	10	8	5

Class	$0 - 5$	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$
Frequency	$10$	$15$	$12$	$20$	$9$

$X$	$0 - 5$	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$
frequency	$2$	$4$	$6$	$8$	$10$

Class:	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$	$30 - 35$	$35 - 40$	$40 - 45$
Frequency:	$5$	$6$	$15$	$10$	$5$	$4$	$2$	$2$

Class	$0 - 5$	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$
Frequency	$4$	$5$	$7$	$12$	$7$	$5$

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Class-interval	$0 - 5$	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$
Frequency	$5$	$3$	$9$	$10$	$8$	$5$