The marks in science of 80 students of class X are given below: Find the mode of the marks obtained by the students in science.
Marks: | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 | 80-90 | 90-100 |
Frequency: | 3 | 5 | 16 | 12 | 13 | 20 | 5 | 4 | 1 | 1 |
Marks | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 | 80-90 | 90-100 |
frequency | 3 | 5 | 16 | 12 | 13 | 20 | 5 | 4 | 1 | 1 |
Here, the maximum frequency is 20, the corresponding class interval 50-60 is modal class
l=50, h=10, f=20, f1=13, f2 =5
Mode = l +
= 50 +
=50+ =50 + 3.18
=53.18