## Statistics Exercise 1.5.4 – chapter Statistics – 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

(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

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

(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

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:

(b)

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

Solution:

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