Find the variance of the probability distribution for the histogram:
A) Var (
X) = 3.67
B) Var (
X) = 1.61
C) Var (
X) = 3.3
D) Var (
X) = 1.86

Question

Find the variance of the probability distribution for the histogram: 
A) Var (
X) = 3.67 
B) Var (
X) = 1.61 
C) Var (
X) = 3.3 
D) Var (
X) = 1.86

Quizplus · Accepted Answer

To find the variance, first we need to find the mean of the data. The mean is approximately (2.5*2 + 3.5*4 + 4.5*3 + 5.5*1)/10 = 3.7. Then, using the formula for variance, we get Var(X) = ((2-3.7)^2 * 2 + (3-3.7)^2 * 4 + (4-3.7)^2 * 3 + (5-3.7)^2 * 1)/10 = 1.61. Therefore, the correct answer is B.

Find the Variance of the Probability Distribution for the Histogram