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Question

Complete the following cumulative frequency table:
Class Frequency Less than type frequency
0-10 $2$
10-20 $12$
20-30 $20$
30-40 $16$
Total $50$

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Solution

$C l a s s$ $F r e q u e n c y$ $L e s s t h a n t y p e f r e q u e n c y$
$0 - 10$ $2$ $2$
$10 - 20$ $12$ $2 + 12 = 14$
$20 - 30$ $20$ $14 + 20 = 34$
$30 - 40$ $16$ $34 + 16 = 50$
$T o t a l$ $50$

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Q. Prepare the cumulative frequency (less than type) table from the following distribution table

Class	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
Frequency	$2$	$3$	$7$	$8$	$5$

Q. Cumulative frequency table is given below. Which type of cumulative frequency is given. Try to build the frequencies of respective class intervals.

Runs	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
No of cricketers	$3$	$8$	$19$	$25$	$30$

Table 1
Marks	Frequency	Cumulative Frequency
0-10	2	2
10-20	8	10
20-30	12	22
30-40	18	40
40-50	28	68
50-60	22	90
60-70 70-80	6 4	96 100

Class (marks )	Frequency
11-15	2
16-20	3
21-25	3
26-30	5
31-35	6
36-40	6
41-45	3
46-50	2
Total	30

Time (in min)	Frequency
15	7
20	15
25	17
30	3
35	14
40	2

31	42	49	25	29
40	36	24	29	30
40	46	38	34	26
24	22	39	40	21

Which table shows the cumulative frequency distribution?

Marks	Frequency	Cumulative Frequency
0-10	2	2
10-20	8	10
20-30	12	22
30-40	18	40
40-50	28	68
50-60	22	90
60-70	6	96
70-80	4	100

Identify the type of frequency distribution.

Q. From the following data of the ages of different persons, prepare less than and more than cumulative frequency distribution.

Age (in years)	10−20	20−30	30−40	40−50	50−60	60−70	70−80
No. of Persons	5	12	10	6	4	11	2

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