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Problem: mean deviation about median {{10,3},{11,12},{12,18},{13,12},{14,3}} [ Calculator, Method and examples ]

Solution:
Your problem `->` mean deviation about median {{10,3},{11,12},{12,18},{13,12},{14,3}}


`x`
`(1)`
`f`
`(2)`
`cf`
`(3)`
`|x-M|=|x-12|`
`(4)`
`f*|x-M|`
`(5)=(2)xx(4)`
103326
111215112
12183300
131245112
1434826
---------------
--`n=48`----`sum f*|x-M|=36`


Median :
M = value of `(n/2)^(th)` observation

= value of `(48/2)^(th)` observation

= value of `24^(th)` observation

From the column of cumulative frequency `cf`, we find that the `24^(th)` observation is `12`.

Hence, the median of the data is `12`.

Mean deviation of Median





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