Answer:
69.76
Step-by-step explanation:
The mean is the average of the numbers. It can be gotten by adding all the numbers, then divide by how many numbers available.
Variance (σ2) measure the spread between numbers in a data set. That is, it measures how far each number in the set is from the mean .
mean value can be computed using below expression
= ∑x(i)P(x(i))
= 3(0.10)+11(0.30)+19(0.20)+27(0.40)
= 18.2
Therefore, the mean value is 18.2
The variance can be calculated using below expression
variance
= ∑(x(i)-mean)^2 P(x(i))
= (3-18.2)^2 (.10) + (11-18.2)^2 (.30) + (19-18.2)^2 (.20)+(27-18.2)^2(0.40)
= 69.76
Therefore, the variance Vale is 69.76
