Answer: variance = 30
Step-by-step explanation:
The first step is to calculate the population mean
Mean = sum of terms/ number of terms, n
From the information given,
n = 5
mean = (17 + 5 + 11 + 1 + 11)/5 = 45/5
Mean = 9
The formula for calculating population variance is expressed as
s^2 = Σ(x - mean)^2/n
Σ(x - mean)^2 = (17 - 9)^2 + (5 - 9)^2 + (11 - 9)^2 + (1 - 9)^2 + (11 - 9)^2 = 152
s^2 = 152/5
s^2 = 30.4
Rounding to the nearest whole number,
variance = 30