Question

Consider the following data:

x 1 2 3 4 5

P(X=x) 0.2 0.2 0.2 0.2 0.2

Step 2 of 5 : Find the variance. Round your answer to one decimal place.

Answer 1

Solution:

x	P(x)	x * P(x)	x2 * P(x)
1	0.2	0.2	0.2
2	0.2	0.4	0.8
3	0.2	0.6	1.8
4	0.2	0.8	3.2
5	0.2	1	5
Sum	1	3	11

Mean = X * P(X)

= 3

Variance = 2  =

= X 2 * P(X) - 2

= 11 - (3)2 = 2

Variance = 2 = 2