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The following are the marks (out of 100) of 60 students in mathematics.

16, 13, 5, 80, 86, 7, 51, 48, 24, 56, 70, 19, 61, 17, 16, 36, 34, 42, 34, 35, 72, 55, 75, 31, 52, 28,72, 97, 74, 45, 62, 68, 86, 35, 85, 36, 81, 75, 55, 26, 95, 31, 7, 78, 92, 62, 52, 56, 15, 63,25, 36, 54, 44, 47, 27, 72, 17, 4, 30.

Construct a grouped frequency distribution table with width 10 of each class starting from 0 - 9.

Answers (1)

Step 1: arrange these number in ascending order.
\\4, 5, 9, 7, 13, 15, 16, 17, 17, 19,\\ 24, 25, 26, 27, 28, 30, 31, 34, 34, 34, 35, 35, 36, 36, 36,\\ 42, 44, 45, 47, 48, 51, 52, 52, 54, 55, 55, 56, 56,\\ 61, 62, 62, 63, 68, 70, 72, 72, 72, 74, 75, 75, 78,\\ 80, 81, 85, 86, 92, 95, 97.

Step 2: Make the frequency distribution table as follows:

The class interval of (0-9), (10-19) etc. are given. So we can write the class interval and the corresponding frequency.

Class interval Frequency
0-9 4
10-19 7
20-29 5
30-39 10
40-49 5
50-59 8
60-69 5
70-79 8
80-89 5
90-99 3
Total 60

 

Posted by

infoexpert23

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