Statistics – Exercise 1.5.4 – Class IX

  1. Construct histogram of variable width for the following data:

a)

CI       25-29 30-35 36-40 41-50 51-56 57-60
f 10 24 15 20 12 16

Solution:

CI 24.5-29 29.5-35.5 35.5 – 40.5 40.5-50.5 50.5-56.5 56.5-60.5
f 10 24 15 20 12 16
class width 5 6 5 10 6 4
length of  the rectangles 10 20 15 10 10 20

Statistics - Exercise 1.5.4 – Class IX


(b)

CI 0 – 10 10- 15 15 – 20 20 – 30 30 – 40 40 – 60 60-70
f 20 15 10 25 5 30 50

Solution:

CI 0 – 10 10- 15 15 – 20 20 – 30 30 – 40 40 – 60 60-70
f 20 15 10 25 5 30 50
class width 10 5 5 10 10 20 10
Length of the rectangles 10 15 10 12.5 2.5 7.5 25

Statistics - Exercise 1.5.4 – Class IX


  1. Draw given (cumulative frequency curve) for the data given below:
Class interval frequency
1000 – 1100 52
1100 – 1200 35
1200 – 1300 25
1300 – 1400 14
1400 – 1500 41
1500 – 1600 33

Solution:

Class interval frequency Cumulative frequency
1000 – 1100 52 52
1100 – 1200 35 87
1200 – 1300 25 112
1300 – 1400 14 126
1400 – 1500 41 167
1500 – 1600 33 200

Statistics - Exercise 1.5.4 – Class IX


(b)

Class interval Frequency
5 – 14 4
15 – 24 8
25 – 34 12
35 – 44 14
45 – 54 6
55 – 64 4
65 – 74 18
75 – 84 24

Solution:

Class interval corrective factor Frequency cumulative frequency
5 – 14 4.5 – 14.5 4 4
15 – 24 14.5 – 24.5 8 12
25 – 34 24.5 – 34.5 12 24
35 – 44 34.5 – 44.5 14 38
45 – 54 44.5 – 54.5 6 44
55 – 64 54.5 – 64.5 4 48
65 – 74 64.5 – 74.5 18 66
75 – 84 74.5 – 84.5 24 90

2(b)


  1. Construct frequency polygon for the following data :

a)

CI 5 – 10 10 – 15 15 – 20 20 – 25 25 – 30 30 – 35 35 – 40 40 – 45
f 2 5 7 6 1 9 14 8

Solution:

Statistics - Exercise 1.5.4 – Class IX

(b)

CI 30-35 35-40 40-45 45-50 50-55
f 12 20 16 8 14

Solution:

Statistics - Exercise 1.5.4 – Class IX

Advertisements

One thought on “Statistics – Exercise 1.5.4 – Class IX

  1. Pingback: IX – Table of Contents | Breath Math

Comments are closed.