Answer:
Range = 13
Population variance = 17.0
Population Standard deviation = 4.1
Explanation:
Range is the measure of variability of set of data. It is the difference between the highest and lowest value in a set of data.
Given the data 11,11,16,17,15,13,9,18,5,7
Highest value = 18
Lowest value = 5
Range = 18-5 = 13
For the population variance, the formula below is suitable:
Population Variance = Σ(x-mean)²/N
N is total element in the data = 10
x are the individual data
Before we can get the variance and SD, we need to first calculate the mean
mean = Σfx/N
Mean = 122/10
Mean = 12.2
Variance = 170.16/10
Population variance = 17.016
Population variance ≈ 17.0 (to 1 d.p)
Population standard deviation = √Population Variance
Population standard deviation = √17.016 = 4.125
≈ 4.1 (to 1 d.p)
Check the attachment for the table
