1.

Calculate the mean deviation from the mean for the following data : 38, 70, 48, 40, 42, 55, 63, 46, 54, 44

Answer»

Given, Numbers of observations are given. 

To Find: Calculate the Mean Deviation. 

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

Explanation: Here, Observations 38, 70, 48, 40, 42, 55, 63, 46, 54, 44 are Given. Deviation |d| = |x-Mean|

Mean = Σ \(\frac{|x_i|}{n}\)

of the Given Observations = \(\frac{38+70+48+40+42+55+63+46+54+44}{10}\)  = \(\frac{500}{10}\)

And, The number of observations is 10. 

Now, The Mean Deviation is

    Xi|di| = ||xi-50
3812
7020
482
4010
428
555
6313
464
544
446
Total Σxi = 50084

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

Mean Deviation of the given Observations = \(\frac{84}{10}\) = 8.4

Hence, The Mean Deviation is 8.4


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