Find the mean deviation about the median for the data : $x_i$ 5 7 9 10 12 15$f_i$ 8 6 2 2 2 6

Solution: X f cf X-M $\left|X-M\right|$5 8 8 -2 27 6 14 0 09 2 16 2 210 2 18 3 312 2 20 5 515 6 26 8 8The data given to us can be arranged in the form of table above. $Median={\left(\frac{N+1}{2}\right)}^{th}term$$={\left(\frac{26+1}{2}\right)}^{th}term$ $={13.5}^{th}term=7$Deviations from the median will be calculated in the column (X-M) Mean deviation from median = $\frac{\sum \left|X-M\right|}{N}$$=\frac{20}{6}=3.33$