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Unit 3: Classification and Tabulation of Data: Frequency and Cumulative Frequency Distribution
These two curves are shown in Figure 1. Notes
50
MORE THAN TYPE LESS THAN TYPE
45
40
35
CUMULATIVE FREQUENCY 25 A C B
30
20
15
10
5
151.5
145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160
HEIGHT (in cms )
Figure 1: Cumulative frequency curves (‘more than’ and ‘less than’ types) of height 1 50 students
PRACTICAL QUESTIONS
1. Transform the following information in continuous series:
Weekly wages of 100 workers (in Rs.) of factory A
880 230 270 280 960 940 930 860 990
820 240 240 550 990 950 860 820 360
960 390 260 540 1000 560 840 830 860
1020 480 270 260 1000 590 830 840 480
1040 460 300 270 1010 600 890 460 490
1060 330 360 300 1030 700 900 490 500
1040 360 370 400 1060 720 940 500 600
240 390 490 460 1070 760 960 460 670
260 780 500 440 460 790 990 360 680
290 670 560 990 480 800 1020 320 510
Solution: The lowest value is 1230 and highest is 1060. The difference in the highest and lowest value
is 830. If we take a class interval of 100, nine classes would be formed. The first class should be 200-
300 instead of 230-330.
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