1.

Find the mean deviation from the mean for the following data :Size:13579111315Frequency:334147434

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 the given data is  \(\frac{433}{20}\)  = 21.65

xifiCumulative Frequency(xifi)|di| = |xi-Mean|Fi|di|
2061201.659.9
214840.652.6
2251100.351.75
231231.351.35
244962.359.40
Total = 20Total = 433Total = 25

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

Mean deviation for given data is \(\frac{25}{20}\) =1.25

Hence, The mean Deviation is 1.25.



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