40 | 45 | 38 | 24 | 46 | 42 | 45 | 18 | 53 | 64 |
45 | 32 | 52 | 54 | 78 | 65 | 52 | 64 | 66 | 43 |
48 | 55 | 50 | 43 | 48 | 20 | 27 | 65 | 37 | 55 |
51 | 55 | 62 | 66 | 38 | 16 | 60 | 58 | 46 | 35 |
72 | 62 | 54 | 58 | 30 | 36 | 43 | 82 | 46 | 53 |
Marks arranged in ascending order | |
16 18 20 24 27 30 32 35 36 37 38 38 40 42 43 43 43 45 45 45 46 46 46 48 48 |
50 51 52 52 53 53 54 54 55 55 55 58 58 60 62 62 64 64 65 65 66 66 72 78 82 |
Marks | Frequency (f) |
16 18 20 24 27 30 32 35 36 37 38 40 42 43 45 46 48 50 51 52 53 54 55 58 60 62 64 65 66 72 78 82 |
1 1 1 1 1 1 1 1 1 1 2 1 1 3 3 3 2 1 1 2 2 2 3 2 1 2 2 2 2 1 1 1 |
Class Interval (Marks) |
No. of Students |
10 − 19 20 − 29 30 − 39 40 − 49 50 − 59 60 − 69 70 − 79 80 − 89 |
2 3 7 13 13 9 2 1 |
Class Interval | No. of Students |
10 − 20 20 − 30 30 − 40 40 − 50 50 − 60 60 − 70 70 − 80 80 −90 |
2 3 7 13 13 9 2 1 |
Marks | Cumulative Frequency |
Less than 20 Less than 30 Less than 40 Less than 50 Less than 60 Less than 70 Less than 80 Less than 90 |
2 2 + 3 = 5 5 + 7 = 12 12 + 13 = 25 25 + 13 = 38 38 + 9 = 47 47 + 2 = 49 49 + 1 = 50 |
Marks | Cumulative Frequency |
More than 10 More than 20 More than 30 More than 40 More than 50 More than 60 More than 70 More than 80 |
50 50 − 2 = 48 48 − 3 = 45 45 − 7 = 38 38 − 13 = 25 25 − 13 = 12 12 − 9 = 3 3 − 2 =1 |