Find the variance of the data given below Size of item 3.5 4.5 5.5 6.5 7.5 8.5 9.5 Frequency 3 7 22 60 85 32 8

BITSAT 2013 Paper

Section: Mathematics

Question : 102 of 150

Marks: +1, -0

Find the variance of the data given below

Size of item	3.5	4.5	5.5	6.5	7.5	8.5	9.5
Frequency	3	7	22	60	85	32	8

Occurance (xi)	Frequency (fi)	Freq* (xi)	(xi - mean)	(xi−mean)2	fi(xi−mean)2
3.5	3	10.5;	- 3.59	12.887	38.661
4.5	7	31.5	- 2.59	6.707	46.952
5.5	22	121	121	2.528	55.609
6.5	60	390	- 0.59	0.348	20.876
7.5	85	637.5	0.41	0.168	14.298
8.5	32	272	1.41	1.988	63.632
9.5	8	76	2.41	5.809	46.47
Total	217	1538.5	-	-	286.498

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