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Question
The distribution given below shows the marks obtained by 25 students in an aptitude test. Find the mean, median and mode of the distribution.
| Marks obtained | 5 | 6 | 7 | 8 | 9 | 10 |
| No. of students | 3 | 9 | 6 | 4 | 2 | 1 |
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Solution
| Marks Obtained (x) | No. of Students (f) | c.f | fx |
| 5 | 3 | 3 | 15 |
| 6 | 9 | 12 | 54 |
| 7 | 6 | 18 | 42 |
| 8 | 4 | 22 | 32 |
| 9 | 2 | 24 | 18 |
| 10 | 1 | 25 | 10 |
| `sumf = 25` | `sum fx = 171` |
Mean barX = `(sum fx)/(sumf) = 171/25 = 6.84`
Median = `(25 + 1)/2` th term = 13 th term = 7
Since the number 6 has maximum frequency 9
∴ Mode = 6
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