1.

Find the mean deviation from the mean for the following data :Classes95-105105-115115-125125-135135-145145-155Frequencies91316263012

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 mean. So, 

Mean = \(\Sigma \frac{f_ix_i}{n}\)  

Here, Mean = \(\frac{13630}{106}\) = 128.6

Therefore, Mean = 49

Class  IntervalXiFiFiXidi=(x-mean)Fi|di|
95-1051009900-28.6257.4
105-115110131430-18.6241.8
115-125120161920-8.6137.6
125-1351302633801.436.4
135-14514030420012.4372
145-15515012180022.4268.8
N=106 Total = 13630Total = 1314

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

Mean deviation for given data = \(\frac{1314}{106}\) = 12.39



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