1.

Compute the mean deviation from the median of the following distribution :Class0-1010-2020-3030-4040-50Frequency51020510

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, Median is the middle term of the Xi

Here, The middle term is 25 

Therefore, Median = 25

Class IntervalXiFiCumulative Frequencydi=(x-median)Fidi
0-1055520100
10-2015101510100
20-3025203500
30-40355911050
40-50451010120200
Total = 50Total = 450

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

Mean deviation for given data \(\frac{450}{50}\) = 9

Hence, The Mean Deviation is 9



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