Question

Find Coefficient of Mean deviation from median :

Price (Rs)

:

25

28

32

32

36

48

44

45

50

50

Answer 1

Price	Deviation from Median D = |X−M| M = 40
25	15
28	12
32	8
32	8
36	4
44	4
45	5
48	8
50	10
50	10
	ΣD = 84

$$\begin{gathered} \mathrm{Median}=\frac{\mathrm{Size}\mathrm{of}\left({\displaystyle \frac{N}{2}}\right)\mathrm{item}+\mathrm{Size}\mathrm{of}{\left(\frac{N}{2}+1\right)}^{\mathrm{th}}\mathrm{item}}{2} \\ =\frac{\mathrm{Size}\mathrm{of}\left({\displaystyle \frac{10}{2}}\right)\mathrm{item}+\mathrm{Size}\mathrm{of}{\left(\frac{10}{2}+1\right)}^{\mathrm{th}}\mathrm{item}}{2} \\ =\frac{\mathrm{Size}\mathrm{of}{5}^{\mathrm{th}}\mathrm{item}+\mathrm{Size}\mathrm{of}{6}^{\mathrm{th}}\mathrm{item}}{2} \\ =\frac{36+44}{2}=\frac{80}{2}=40 \end{gathered}$$
$$\begin{gathered} \mathrm{Mean}\mathrm{deviation}\mathrm{from}\mathrm{Median}=\frac{\Sigma D}{N}=\frac{84}{10}=8.4 \\ \therefore \mathrm{Coefficient}\mathrm{of}\mathit{}MD=\frac{\mathrm{Mean}\mathrm{deviation}\mathrm{from}\mathrm{Median}}{\mathrm{Median}} \\ =\frac{8.4}{40} \\ =0.2 \end{gathered}$$
Thus, coefficient of mean deviation from median is 0.2.