Mathematics
A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent.
| Number of days | Number of students |
|---|---|
| 0 - 6 | 11 |
| 6 - 10 | 10 |
| 10 - 14 | 7 |
| 14 - 20 | 4 |
| 20 - 28 | 4 |
| 28 - 38 | 3 |
| 38 - 40 | 1 |
Statistics
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Answer
We will use assumed mean method to find the mean. Here, a is the assumed mean.
By formula,
Class mark =
| Number of days | Number of students (fi) | Class mark (xi) | di = xi - a | fidi |
|---|---|---|---|---|
| 0 - 6 | 11 | 3 | -14 | -154 |
| 6 - 10 | 10 | 8 | -9 | -90 |
| 10 - 14 | 7 | 12 | -5 | -35 |
| 14 - 20 | 4 | a = 17 | 0 | 0 |
| 20 - 28 | 4 | 24 | 7 | 28 |
| 28 - 38 | 3 | 33 | 16 | 48 |
| 38 - 40 | 1 | 39 | 22 | 22 |
| Total | Σfi = 40 | Σfidi = -181 |
By formula,
Mean =
Substituting values we get :
Hence, mean number of days = 12.48
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