1.

Find the mean deviation from the mean for the following dataxi579101215fi862226

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|
5840432
7642212
921800
1022012
1222436
15690636
Total = 26Total = 234Total = 88

Mean = \(\frac{234}{26}\) = 9 

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

Mean deviation for given data = \( \frac{88}{26}\) = 3.3

Hence, The mean Deviation is 3.3.


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