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

 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
0.5-10.533
10.5-20.558
20.5-30.5816
30.5-40.5723
40.5-50.5629
50.5-60.5231

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 obtained24-2929-3434-3939-4444-4949-5454-59
No. of students1256432

Sol :

Marks obtainedNo. of students
(f)		c.f
24-2911
29-3423
34-3958
39-44614
44-49418
49-54321
54-59223

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:



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