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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, Construct a grouped frequency distribution table with width 10 of each class,

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, in such a way that one of the classes is 10 - 20 (20 not included).

Answers (2)

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 (0-10), (10-20) etc. are given. So we can write the class interval and the corresponding frequency.

A value like 10 will always be counted in the interval where it is the lower limit, i.e., 10-20 and not in 0-10 (where it is the higher limit)

Class interval Frequency
0-10 4
10-20 7
20-30 5
30-40 10
40-50 5
50-60 8
60-70 5
70-80 8
80-90 5
90-100 3
Total 60
Posted by

infoexpert23

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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 (0-10), (10-20) etc. are given. So we can write the class interval and the corresponding frequency.

A value like 10 will always be counted in the interval where it is the lower limit, i.e., 10-20 and not in 0-10 (where it is the higher limit)

Class interval Frequency
0-10 4
10-20 7
20-30 5
30-40 10
40-50 5
50-60 8
60-70 5
70-80 8
80-90 5
90-100 3
Total 60

 

Posted by

infoexpert23

View full answer

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