Question

Consider the following data: x −7 −6 −5 − 5 − 4 − 3 P(X=x) P ( X = x ) 0.2 0.2 0.2 0.2 0.2 Copy Data Step 3 of 5: Find the standard deviation. Round your answer to one decimal place.

Answer 1

Solution

x	P(x)	x * P(x)	x2 * P(x)
-7	0.2	-1.4	9.8
-6	0.2	-1.2	7.2
-5	0.2	-1	5
-4	0.2	-0.8	3.2
-3	0.2	-0.6	1.8
	1	-5	27

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

=27 - 25

=2

= 1.4142

Standard deviation = = 1.4