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

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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) 10 3 3 2 6 11 12 15 1 12 12 18 33 0 0 13 12 45 1 12 14 3 48 2 6 --- --- --- --- --- -- 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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