Calculate the mean deviation from the mean for the following data 6, 7, 10, 12, 13, 4, 8, 20.
Let x̄ be the mean of the given data.
x̄ = (6 + 7 + 10 + 12 + 13 + 4 + 8 + 20) / 8 = 80 / 8 = 10
Computation of Mean Deviation
| xi | |di| = |xi - x̄| = |xi - 10| |
|---|---|
| 6 | 4 |
| 7 | 3 |
| 10 | 0 |
| 12 | 2 |
| 13 | 3 |
| 4 | 6 |
| 8 | 2 |
| 20 | 10 |
| Total | 30 |
Mean deviation = (1/n) Σ|di| = 30/8 = 3.75