1.

Find the mean deviation from the mean for the following data :Size:2021222324Frequency:64514

Answer»

Given, Numbers of observations are given. 

To Find: Calculate the Mean Deviation from the mean. 

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

Explanation. 

Here we have to calculate the mean deviation from Mean 

So, Mean = \(\frac{\Sigma f_ix_i}{f_i}\)  

Mean of given Data = \(\frac{4000}{80}\) =50

xifiCumulative Frequency(xifi)|di| = |xi=Mean|Fi|di|
1044040160
302472020480
5028140000
7016112020320
90872040320
Total = 80Total = 4000Total = 1280

Mean =  \(\frac{4000}{80}\)  = 50

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

Mean deviation for given data = \(\frac{1280}{80}\) = 16

Hence, The mean Deviation is 16


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