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Question
The mean deviation of the data 3, 10, 10, 4, 7, 10, 5 from the mean is ______.
Options
2
2.57
3
3.75
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Solution
The mean deviation of the data 3, 10, 10, 4, 7, 10, 5 from the mean is 2.57.
Explanation:
Observations are given by 3, 10, 10, 4, 7, 10 and 5
∴ `barx = (3 + 10 + 10 + 4 + 7 + 10 + 5)/7`
= `49/7`
= 7
| `x_i` | `d_i = |x_i - barx|` |
| 3 | 4 |
| 10 | 3 |
| 0 | 3 |
| 4 | 3 |
| 7 | 0 |
| 10 | 3 |
| 5 | 2 |
| Total | `sumd_i` = 18 |
M.D. = `(sumd_i)/n`
= `18/7`
= 2.57
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