Give the variance of the following distribution?

A) 1.83
B) 1.31
C) 1.25
D) 1.71

Question

Give the variance of the following distribution?

A) 1.83 
B) 1.31 
C) 1.25 
D) 1.71

Quizplus · Accepted Answer

To find the variance, we first need to find the mean which is (1+2+3+4+5+6)/6 = 3.5. Then we subtract the mean from each number, square the result and add them up. (1-3.5)^2 + (2-3.5)^2 + (3-3.5)^2 + (4-3.5)^2 + (5-3.5)^2 + (6-3.5)^2 = 17.5. Finally, we divide by the number of observations which is 6 to get the variance: 17.5/6 = 2.92/2 ≈ 1.71. Therefore, the answer is D, 1.71.

Give the Variance of the Following Distribution