Calculate quartile deviation for the following data:
Marks scored $10$ $20$ $30$ $40$ $50$ $60$
No. of students $12$ $7$ $16$ $8$ $18$ $22$

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Solution

Age

10

20

30

4

50

60

Frequency

12

7

16

8

18

22

CF

12

19

35

43

61

83

$Q_{1} =$ Value of ${(\frac{n + 1}{4})}^{t h}$ term $= 21^{n d}$ term $= 30$
$Q_{3} =$ Value of $3 {(\frac{n + 1}{4})}^{t h}$ term $= 63^{t h}$ Term $= 60$
$Q . D = \frac{Q_{3} - Q_{1}}{2} = \frac{60 - 30}{2} = 15$

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Marks	:	5-9	10-14	15-19	20-24	25-29	30-34	35-39
Students	:	1	3	8	5	4	2	2

Marks obtained	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
Number of students	$5$	$8$	$15$	$16$	$6$

Marks	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$
No. of students	$8$	$15$	$22$	$20$	$10$	$5$

Marks	10	20	30	40	50	60
No. of students	4	7	15	8	7	2

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Marks scored	$10$	$20$	$30$	$40$	$50$	$60$
No. of students	$12$	$7$	$16$	$8$	$18$	$22$