Worked Examples · Example 2
Q.
In a survey of 50 employees, the number of days absent in a quarter is distributed as follows. Find the mean deviation about the mean.
| Days absent () | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| Number of employees () | 5 | 10 | 20 | 10 | 5 |
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✓ Free question
Step 1 — Find the mean.
| 0 | 5 | 0 |
| 1 | 10 | 10 |
| 2 | 20 | 40 |
| 3 | 10 | 30 |
| 4 | 5 | 20 |
| Total | 50 | 100 |
.
Step 2 — Find and for each row.
| | | | |
|---|---|---|---|
| 0 | 5 | 2 | 10 |
| 1 | 10 | 1 | 10 |
| 2 | 20 | 0 | 0 |
| 3 | 10 | 1 | 10 |
| 4 | 5 | 2 | 10 |
| Total | 50 | | 40 |
Step 3 — Divide.
Independent check. Re-adding the column in a different grouping, — confirms the total.
✓Final answer
days
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