Given:
Total number of students = 20
The marks of the students are 40, 22, 36, 27, 30, 12, 15, 20, 25, 31, 34, 36, 39, 41, 43, 48, 46, 36, 37 and 40.
To find:
The frequency distribution table with class size 10.
Solution:
We have, the marks of 20 students.
40, 22, 36, 27, 30, 12, 15, 20, 25, 31, 34, 36, 39, 41, 43, 48, 46, 36, 37, 40
Here,
Minimum value = 12
Maximum value = 48
We nee class intervals of size 10. So, the required class intervals are 10-20, 20-30, 30-40, 40-50. In these intervals, lower limit is excluded but the upper limit included.
The required frequency distribution table is
Class intervals Marks Frequency
10-20 12, 15 2
20-30 22, 27, 20, 25 4
30-40 36, 30, 31, 34, 36, 39, 36, 37 8
40-50 40, 41, 43, 48, 46, 40 6
Total 20
Therefore, the frequency distribution table is
Class intervals: 10-20 20-30 30-40 40-50 Total
Frequency : 2 4 8 6 20