The standard deviation of the distribution (approximately) is C.I 0-2 2-4 4-6 6-8 8-10 f_i 1 2 3 2 1

AP ICET 2019 Shift 2 Paper

Question : 145 of 200

Marks: +1, -0

The standard deviation of the distribution (approximately) is

C.I	0-2	2-4	4-6	6-8	8-10
$f_i$	1	2	3	2	1

Solution:

CI	$f_i$	$x_i$	$f_ix_i$	$(x_i-A)^2f_i$
0 – 2	1	1	1	16
2 – 4	2	3	6	8
4 – 6	3	5	15	0
6 – 8	2	7	14	8
8 – 10	1	9	9	16
	9		45	48

Mean A

=\;{∑ f i x_{i}}/{∑ f}=\;{45}/{9}=5

=√{\;{∑(x i-A)^{2} f i}/{Σ f_{i}}}=√{\;{48}/{9}}=√{\;{16}/{3}}=2.3

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