1.

Calculate the mean deviation about the median of the following frequency distribution :xi57911131517fi246810128

Answer»

Given, Numbers of observations are given. 

To Find: Calculate the Mean Deviation 

Formula Used: Mean Deviation = \(\frac{\Sigma f|d_i|}{n}\) 

Explanation. 

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

So, Here, N =50 

Then, \(\frac{N}{2} = \frac{50}{2}\) = 25

So, The median Corresponding to 25 is 13

xifiCumulative Frequency|di|=|xi-13|Fi|di|
522816
746624
9612424
11820216
13103000
151242224
17850432
Total = 50Total = 136

N = 50 

Mean Deviation = \(\frac{\Sigma f|d_i|}{N}\)

Mean deviation for given data = \(\frac{126}{50}\) = 2.72  

Hence, The mean Deviation is 2.72.


Discussion

No Comment Found

Related InterviewSolutions