Statistics Exercise 1.5.4 – chapter Statistics – Class IX

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

a)

CI      25-2930-3536-4041-5051-5657-60
f102415201216

Solution:

CI24.5-2929.5-35.535.5 – 40.540.5-50.550.5-56.556.5-60.5
f102415201216
class width5651064
length of  the rectangles102015101020

Statistics - Exercise 1.5.4 – Class IX


(b)

CI0 – 1010- 1515 – 2020 – 3030 – 4040 – 6060-70
f2015102553050

Solution:

CI0 – 1010- 1515 – 2020 – 3030 – 4040 – 6060-70
f2015102553050
class width105510102010
Length of the rectangles10151012.52.57.525

Statistics - Exercise 1.5.4 – Class IX


  1. Draw given (cumulative frequency curve) for the data given below:
Class intervalfrequency
1000 – 110052
1100 – 120035
1200 – 130025
1300 – 140014
1400 – 150041
1500 – 160033

Solution:

Class intervalfrequencyCumulative frequency
1000 – 11005252
1100 – 12003587
1200 – 130025112
1300 – 140014126
1400 – 150041167
1500 – 160033200

Statistics - Exercise 1.5.4 – Class IX


(b)

Class intervalFrequency
5 – 144
15 – 248
25 – 3412
35 – 4414
45 – 546
55 – 644
65 – 7418
75 – 8424

Solution:

Class intervalcorrective factorFrequencycumulative frequency
5 – 144.5 – 14.544
15 – 2414.5 – 24.5812
25 – 3424.5 – 34.51224
35 – 4434.5 – 44.51438
45 – 5444.5 – 54.5644
55 – 6454.5 – 64.5448
65 – 7464.5 – 74.51866
75 – 8474.5 – 84.52490

2(b)


  1. Construct frequency polygon for the following data :

a)

CI5 – 1010 – 1515 – 2020 – 2525 – 3030 – 3535 – 4040 – 45
f257619148

Solution:

Statistics - Exercise 1.5.4 – Class IX

(b)

CI30-3535-4040-4545-5050-55
f122016814

Solution:

Statistics - Exercise 1.5.4 – Class IX

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