NCERT Class XI Mathematics - Statistics - Solutions

Question : 7

Total: 34

xi	5	7	9	10	12	15
fi	8	6	2	2	2	6

Solution:

xi	fi	c.f.	\|xi−7\|	fi\|xi−7\|
5	8	8	2	16
7	6	14	0	0
9	2	16	2	4
10	2	18	3	6
12	2	20	5	10
15	6	26	8	48
	26			84

Here,

= 13
The c.f. just greater than 13 is 14 and the corresponding value of x is 7.
So, Median (M) = 7
∴ M.D. about median =

i=1

fi|xi−M| =

× 84 = 3.23

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