Find the median for the following data.
Age group $0 - 9$ $10 - 19$ $20 - 29$ $30 - 39$ $40 - 49$ $50 - 59$ $60 - 69$
No. of persons $4$ $6$ $10$ $11$ $12$ $6$ $1$

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Solution

Age

No. of persons( $f_{i}$ )

Cumulative Frequency(c.f)

-0.5-9.5

4

4

9.5-19.5

6

10

19.5-29.5

10

20

29.5-39.5

11

31

39.5-49.5

12

43

49.5-59.5

6

49

59.5-69.5

1

50=n

Median is at $\frac{n}{2} = 25$ th value
$l = 29.5; h = 10; f = 11; c = 20$
median $= l + \frac{h}{f} \times (\frac{n}{2} - c)$
$= 29.5 + \frac{10}{11} \times (5)$
$\approx 34$ years

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Similar questions

Class interval	$10 - 19$	$20 - 29$	$30 - 39$	$40 - 49$	$50 - 59$	$60 - 69$	$70 - 79$
Frequency	$6$	$4$	$10$	$9$	$11$	$8$	$2$

$C . I .$	$0 - 9$	$10 - 19$	$20 - 29$	$30 - 39$	$40 - 49$	$50 - 59$	$60 - 69$
$f$	$8$	$16$	$17$	$34$	$10$	$5$	$10$

$C I$	$10 - 19$	$20 - 29$	$30 - 39$	$40 - 49$	$50 - 59$	$60 - 69$	$70 - 79$	$80 - 90$
$f$	$3$	$7$	$5$	$11$	$6$	$8$	$4$	$5$

Class-intervals	10−29	30−39	40−49	50−59	59−60	60−69
Frequencies	12	19	20	21	15	13

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Age group	$0 - 9$	$10 - 19$	$20 - 29$	$30 - 39$	$40 - 49$	$50 - 59$	$60 - 69$
No. of persons	$4$	$6$	$10$	$11$	$12$	$6$	$1$