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Mean deviation, Coefficient of Mean deviation for grouped data Formula & Example-1 ( Enter your problem )
  1. Formula & Example-1
  2. Example-2
  3. Example-3
  4. Example-4

1. Formula & Example-1





1. Calculate Mean deviation, Coefficient of M.D. from the following grouped data
XFrequency
01
15
210
36
43


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)`
0102.22.2
1551.26
210200.22
36180.84.8
43121.85.4
---------------
--`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`








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