The marks obtained by 100 students of a class in an examination are given below.
Marks | No. Of Students |
0-5 | 2 |
5-10 | 5 |
10-15 | 6 |
15-20 | 8 |
20-25 | 10 |
25-30 | 25 |
30-35 | 20 |
35-40 | 18 |
40-45 | 4 |
45-50 | 2 |
Draw 'a less than' type cumulative frequency curves (ogive). Hence find the median.
Marks | Nor of students | cf |
less than 5 | 2 | 2 |
less than |
5 | 7 |
less than |
6 | 13 |
less than |
8 | 21 |
less than |
10 | 31 |
less than |
25 | 56 |
less than |
20 | 76 |
less than |
18 | 94 |
less than |
4 | 98 |
less than |
2 | 100 |
Plotting the points (5, 2), (10, 7) (15, 13), (20, 21), (25, 31), (30, 56), (35, 76), (40, 94), (45, 98), (50, 100)
Median is around 29