ML Aggarwal Solution Class 10 Chapter 21 Measures of Central Tendency Exercise 21.5

Q1 Q2 Q3

 Exercise 21.5

Question 1

Draw an ogive for the following frequency distribution:

Height(in cm)	150-160	160-170	170-180	180-190	190-200
No. of students	8	3	4	10	2

Sol :

Height (in cm)	No. of students (f)	c.f
150-160	8	8
160-170	3	11
170-180	4	15
180-190	10	25
190-200	2	27

Plot the points (160, 8), (170, 11), (180, 15), (190, 25) and (200, 27)

on the graph and join them with the free hand. We get an ogive as shown:

Question 2

Draw an ogive for the following data:

Class intervals	1-10	11-20	21-30	31-40	41-50	51-60
Frequency	3	5	8	7	6	2

Sol :

Height (in cm)	No. of students (f)	c.f
0.5-10.5	3	3
10.5-20.5	5	8
20.5-30.5	8	16
30.5-40.5	7	23
40.5-50.5	6	29
50.5-60.5	2	31

Plot the points (10.5, 3), (20.5, 8), (30.5, 16), (40.5, 23),

(50.5, 29), (60.5, 31) on the graph and join them with a free hand,

we get an ogive as shown:

Question 3

Draw a cumulative frequency curve for the following data:

Marks obtained	24-29	29-34	34-39	39-44	44-49	49-54	54-59
No. of students	1	2	5	6	4	3	2

Sol :

Marks obtained	No. of students (f)	c.f
24-29	1	1
29-34	2	3
34-39	5	8
39-44	6	14
44-49	4	18
49-54	3	21
54-59	2	23

Plot the points (29, 1), (34, 3), (39, 8), (44, 14), (49, 18),

(54, 21) and (59, 23) on the graph and join them

with a free hand to get an ogive as shown: