Find the median for the following data.
Height (ft) $5 - 10$ $10 - 15$ $15 - 20$ $20 - 25$ $25 - 30$
No. of trees $4$ $3$ $10$ $8$ $5$

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Solution

Height

Frequency $(f_{i})$

Cumulative Frequency

5-10

4

4

10-15

3

7

15-20

10

17

20-25

8

25

25-30

5

30

$\sum f_{i} = 30$

Median is at $\frac{n}{2} = 15$ th value
l $= 15$ ; h $= 5$ ; f $= 10$ ; c $= 7$
Median $= l + \frac{h}{f} \times (\frac{n}{2} - c)$
$= 15 + \frac{1}{2} \times (15 - 7) = 19$

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Similar questions

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

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

$C I$	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$
$f$	$5$	$12$	$3$	$11$	$9$

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

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Height (ft)	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$
No. of trees	$4$	$3$	$10$	$8$	$5$