Question

Find the standard deviation of the following data. Round your answer to one decimal place.

x	−6	−5	−4	−3	−2	−1
P(X=x)P(X=x)	0.3	0.1	0.2	0.1	0.1	0.2

Copy Data

Answer 1

Solutiion

x	P(x)	x * P(x)	x2 * P(x)
-6	0.3	-1.8	10.8
-5	0.1	-0.5	2.5
-4	0.2	-0.8	3.2
-3	0.1	-0.3	0.9
-2	0.1	-0.2	0.4
-1	0.2	-0.2	0.2
	1	-3.8	18

Standard deviation = =X 2 * P(X) - 2  

=18 -14.44

=3.56

  = 1.8868

Standard deviation = 1.9