NCERT Class XI Mathematics - Statistics - Solutions

Question : 8

Total: 34

xi	15	21	27	30	35
fi	3	5	6	7	8

Solution:

xi	fi	c.f.	\|xi−7\|	fi\|xi−7\|
15	3	3	15	45
21	5	8	9	18
27	6	14	3	18
30	7	21	0	0
35	8	29	5	40
	29			148

Here,

= 14.5
The c.f. just greater than 14.5 is 21 and the corresponding value of x is 30.
So, Median (M) = 30
∴ M.D. about median =

i=1

fi|xi−M| =

× 148 = 5.1

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