1. Find Mean deviation about MODE from the following data
`73,70,71,73,68,67,69,72,76`
Solution:
Mode :
In the given data, the observation `73` occurs maximum number of times (`2`)
`:. Z = 73`
| `x` | `|x - Z| = |x - 73|` |
| 73 | 0 |
| 70 | 3 |
| 71 | 2 |
| 73 | 0 |
| 68 | 5 |
| 67 | 6 |
| 69 | 4 |
| 72 | 1 |
| 76 | 3 |
| --- | --- |
| 639 | 24 |
Mean deviation of Mode
`delta bar x = (sum |x - Z|)/n`
`delta bar x = 24/9`
`delta bar x = 2.6667`
Coefficient of Mean deviation `=(delta bar x)/(bar x)`
`=2.6667/73`
`=0.0365`
2. Find Mean deviation about MODE from the following data
`69,66,67,69,64,63,65,68,72`
Solution:
Mode :
In the given data, the observation `69` occurs maximum number of times (`2`)
`:. Z = 69`
| `x` | `|x - Z| = |x - 69|` |
| 69 | 0 |
| 66 | 3 |
| 67 | 2 |
| 69 | 0 |
| 64 | 5 |
| 63 | 6 |
| 65 | 4 |
| 68 | 1 |
| 72 | 3 |
| --- | --- |
| 603 | 24 |
Mean deviation of Mode
`delta bar x = (sum |x - Z|)/n`
`delta bar x = 24/9`
`delta bar x = 2.6667`
Coefficient of Mean deviation `=(delta bar x)/(bar x)`
`=2.6667/69`
`=0.0386`
This material is intended as a summary. Use your textbook for detail explanation.
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