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Problem: mean deviation about median {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}} [ Calculator, Method and examples ]

Solution:
Your problem `->` mean deviation about median {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}


Class
`(1)`
`f`
`(2)`
`cf`
`(3)`
Mid value (`x`)
`(4)`
`|x-M|=|x-30|`
`(5)`
`f*|x-M|`
`(6)=(2)xx(5)`
10 - 2015151515225
20 - 302540255125
30 - 402060355100
40 - 5012724515180
50 - 608805525200
------------------
--`n=80`------`sum f*|x-M|=830`


To find Median Class
= value of `(n/2)^(th)` observation

= value of `(80/2)^(th)` observation

= value of `40^(th)` observation

From the column of cumulative frequency `cf`, we find that the `40^(th)` observation lies in the class `30 - 40`.

`:.` The median class is `30 - 40`.

Now,
`:. L = `lower boundary point of median class `=30`

`:. n = `Total frequency `=80`

`:. cf = `Cumulative frequency of the class preceding the median class `=40`

`:. f = `Frequency of the median class `=20`

`:. c = `class length of median class `=10`

Median `M = L + (n/2 - cf)/f * c`






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