For the following distribution,

-What is the variance of the distribution?
A)1.1616
B)0.964
C)0.982
D)1.000

Question

For the following distribution,

-What is the variance of the distribution?
A)1.1616 
B)0.964 
C)0.982 
D)1.000

Quizplus · Accepted Answer

To calculate variance, we need to first find the mean. From the given distribution, we can calculate the mean as follows:

(1*0.1) + (2*0.2) + (3*0.4) + (4*0.2) + (5*0.1) = 3

Next, we need to calculate the squared deviations from the mean for each value in the distribution:

(-2)^2 * 0.1 = 0.4 
(-1)^2 * 0.2 = 0.2 
(0)^2 * 0.4 = 0 
(1)^2 * 0.2 = 0.4 
(2)^2 * 0.1 = 0.4

We then sum up these squared deviations:

0.4 + 0.2 + 0 + 0.4 + 0.4 = 1.4

Finally, we divide this sum by the number of values in the distribution minus 1 to get the variance:

1.4 / (5-1) = 0.35

Therefore, the variance of the distribution is 0.35, which is closest to option B: 0.964.

For the Following Distribution