1.

Find the mean deviation from the median for the following data:Mark obtained1011121415No. of students23834

Answer»

Given, Numbers of observations are given. 

To Find: Calculate the Mean Deviation 

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

Explanation.

Here we have to calculate the mean deviation from the median. So,

N = 20 

\(\frac{N}{2}\) = 10

So, The median Corresponding to 10 is 12

xifiCumulative Frequency|di| = |xi-Med|Fi|di|
102224
113513
1281300
1431626
15420312
Total = 20Total = 25

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

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

Hence, The Mean Deviation is 1.25.


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