1. Calculate Mean deviation, Coefficient of M.D. from the following grouped data
Solution:Mean deviation :`x` `(1)` | `f` `(2)` | `f*x` `(3)=(2)xx(1)` | `|x-bar x|=|x-2.2|` `(4)` | `f*|x-bar x|` `(5)=(2)xx(4)` |
0 | 1 | 0 | 2.2 | 2.2 |
1 | 5 | 5 | 1.2 | 6 |
2 | 10 | 20 | 0.2 | 2 |
3 | 6 | 18 | 0.8 | 4.8 |
4 | 3 | 12 | 1.8 | 5.4 |
--- | --- | --- | --- | --- |
-- | `n=25` | `sum f*x=55` | -- | `sum f*|x-bar x|=20.4` |
Mean `bar x=(sum f x)/n`
`=55/25`
`=2.2`
Mean deviation of Mean
`delta bar x = (sum f*|x - bar x|)/n`
`delta bar x = 20.4/25`
`delta bar x = 0.816`
Coefficient of Mean deviation `=(delta bar x)/(bar x)`
`=0.816/2.2`
`=0.3709`
This material is intended as a summary. Use your textbook for detail explanation.
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