1.

Find the mean deviation from the mean for the following data :xi1030507090fi42428168

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 = \(\frac{\Sigma f_ix_i}{f_i}\) 

xifiCumulative Frequency (xifi)|di| = |xi-Mean|Fi|di|
5735963
10440416
1569016
20360618
2551251155
Total = 25Total = 350Total = 158

Mean = \(\frac{350}{25}\) =14 

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

Mean deviation for given data = \(\frac{158}{25}\) = 6.32

Hence, The mean Deviation is 6.32.


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