Draw an ogive by less than method for the following data:

No. of rooms: 1 2 3 4 5 6 7 8 9 10

No. of houses: 4 9 22 28 24 12 8 6 5 2

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Solution

Firstly, we prepare the cumulative frequency table by less than method.

No. of rooms No. of houses (f) Cumulative frequency

1 4 4

2 9 13

3 22 35

4 28 63

5 24 87

6 12 99

7 8 107

8 6 113

9 5 118

10 2 120

Now, plot the less than ogive using the points (1, 4), (2, 13), (3, 35), (4, 63), (5, 87), (6, 99), (7, 107), (8, 113), (9, 118) and (10, 120).

Suggest Corrections

No. of rooms	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$
No. of houses	$4$	$9$	$22$	$28$	$24$	$12$	$8$	$6$	$5$	$2$

Marks	0-10	10-20	20-30	30-40	40-50	50-60
Number of students	7	10	23	51	6	3

Age in years (less than)	10	20	30	40	50	60	70
Cumulative Frequency	0	17	32	37	53	58	65

Height	Less than $7$	Less than $14$	Less than $21$	Less than $28$	Less than $35$	Less than $42$	Less than $49$	Less than $56$
No. of trees	$25$	$45$	$95$	$140$	$235$	$275$	$320$	$360$