Question

Calculate the mean deviation from the median of the following frequency distribution :

Height in inches	58	59	60	61	62	63	64	65	66
No. of students	15	20	32	35	35	22	20	10	8

Answer 1

Here we have to calculate the mean deviation from the median. 

So, We know, Median is the Middle term, 

Therefore, Median = 61 

Let x_i =Heights in inches 

And, f_i = Number of students

xi	fi	Cumulative Frequency	|di| = |xi-61|	Fi|di|
58	15	15	3	45
59	20	35	2	40
60	32	67	1	32
61	35	102	0	0
62	35	137	1	35
63	22	159	2	44
64	20	179	3	60
65	10	189	4	40
66	8	197	5	40
	N = 197			Total = 336

N=197 

Mean deviation= \(\frac{336}{197}\) = 1.70

Hence, The mean deviation is 1.70.