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Question
Find the mean deviation about the median for the data.
13, 17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 17
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Solution
`12/2` = 6th term = 13 and 7th term = 14
Median = `(13 + 14)/2`
= `27/2`
= 13.5
| xi | `|x_i - 13.5|` |
| 10 | 3.5 |
| 11 | 2.5 |
| 11 | 2.5 |
| 12 | 1.5 |
| 13 | 0.5 |
| 13 | 0.5 |
| 14 | 0.5 |
| 16 | 2.5 |
| 16 | 2.5 |
| 17 | 3.5 |
| 17 | 3.5 |
| 18 | 4.5 |
| Total | 28 |
∴ Mean deviation (M) = `(sum|"x"_"i" - "M"|)/"n"`
= `28.5/12`
= 2.375
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