Find the mean deviation from the mean and from a median of the following distribution:

 Marks 0-10 10-20 20-30 30-40 40-50 No. of students 5 8 15 16 6

Asked by Sakshi | 9 months ago |  117

##### Solution :-

To find the mean deviation from the median, firstly let us calculate the median.

N = 50

So, $$\dfrac{ N}{2} = \dfrac{50}{2}$$ = 25

The cumulative frequency just greater than 25 is 58, and the corresponding value of x is 28

So, Median = 28

By using the formula to calculate Mean,

$$x= \dfrac{\displaystyle\sum fixi}{fi}$$

= $$\dfrac{ 1350}{50}$$

= 27

Mean deviation from Median = $$\dfrac{478}{50}$$ = 9.56

And, Mean deviation from Median = $$\dfrac{472}{50}$$ = 9.44

The Mean Deviation from the median is 9.56 and from mean is 9.44.

Answered by Aaryan | 9 months ago

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