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Question
Find the mean deviation about the median for the data.
| xi | 15 | 21 | 27 | 30 | 35 |
| fi | 3 | 5 | 6 | 7 | 8 |
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Solution
| xi | fi | c.f | |xi - 30| | fi |xi - 30| |
| 15 | 3 | 3 | 15 | 45 |
| 21 | 5 | 8 | 9 | 45 |
| 27 | 6 | 14 | 3 | 18 |
| 30 | 7 | 21 | 0 | 0 |
| 35 | 8 | 29 | 5 | 40 |
| Sum | 29 | - | - | 148 |
Median = `(29 + 1)/2` = 15th term = 30
M.D. (M) = `(sum"f"_"i" |"x"_"i" - "M"|)/"N"`
= `148/29`
= 5.1
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