Consider the following sets of test scores (out of 100) obtained by students in a class.
Set A: 68, 70, 69, 71, 72, 70, 71, 69, 68, 70
Set B: the ten scores of Set A together with one additional score of 95
(i) For Set A, calculate the range and the population standard deviation.
(ii) For Set B, calculate the range and the population standard deviation.
(iii) Compare the percentage change in each measure after the outlier is added. Which measure is more robust against the extreme value? Give a reason for your answer.