1.

Calculate the mean deviation about the median of the following observation : 38, 70, 48, 34, 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, 34, 42, 55, 63, 46, 54, 44 are Given. 

Since, Median is the middle number of all the observation, 

So, To Find the Median, Arrange the numbers in Ascending order, we get 34, 38,42,44,46,48,54,55,63,70 

Here the Number of observations are Even then Median = Mean Deviation = Hence, The Mean Deviation is 8.6

Therefore, The Median = 47 

Deviation |d| = |x-Median| 

And, The number of observations is 10. 

Now, The Mean Deviation is

Xi|di|=|xi=47|
389
7023
481
3413
425
558
6316
461
547
443
Total Σdi86

Mean Deviation = \(\frac{86}{10}\)

Hence, The Mean Deviation is 8.6 


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