Consider the following marks(out of 50) obtained in Mathematics by 60 students of Class VIII. 21,10,30,22,33,5,37,12,25,42,15,39,26,32,18,27,28,19,29,35,31,24,36,18,20,38,22,44,16,24,10, 27,39,28,49,29,32,23,31,21,34,22,23,36,24,36,33,47,48,50,39,30,7,16,36,45,47,30,22,17.
Using tally marks a frequency table with intervals as 0 - 10, 10 - 20 and so on.
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Note: If we prepare frequency distribution table for each observation, then the table would be too long. So for our convenience, we make groups of observations like 0 – 9, 10 – 19, and so on. We obtain a frequency distribution of number of observations coming under each group. In this way, we prepare a frequency distribution table for the above data as below:]
groups tally marks frequency
0 – 9 III 03
10 – 19 IIII IIII 10
20 – 29 IIII IIII IIII I 16
30 – 39 IIII IIII IIII 15
40 – 49 IIII I 06
50 – 59 0
Total 50 50
In the above table, marks are grouped into 0 – 9, 10 – 19, and like. No scores overlap in any group. Each of these groups is called a class interval or a class. This method of grouping data is called inclusive method.