Answer:
The range of the data is 9.0.
The population variance is 8.25.
The population standard deviation is 2.87.
Step-by-step explanation:
The data set is: S = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
(A)
The range of a data set is the difference between the maximum and minimum value of the data set.
Compute range as follows:
Thus, the range of the data is 9.0.
(B)
The formula to compute the population variance is:
Compute the mean of the data set:
Compute the variance as follows:
Thus, the population variance is 8.25.
(C)
The population standard deviation is:
Compute the population standard deviation of the data set:
Thus, the population standard deviation is 2.87.