Presidents 10 10 Popes 29 29 26 28 15 23 4 110 1 12 12 28 2 9 6 0 17 15 25 25 0 20 20 4 1 24 24 7 24 12 4 18 21 21 11 + 10 16 12 6 2 36 610 18 11 6 25 23 6 2 15 32 3 16 9 25 23 32 30 2 26 25 11 8 Monarchs 17 6 3 17 + 19 11 5 15 0 26 13 3 59 10 10 7 6 36 15 (D) X1. EXPLORING THE DATA Include appropriate units in all answers. a. Find the mean for presidents, find the mean for popes, and find the mean for the monarchs. b. Find the standard deviation for presidents, find the standard deviation for popes, and find the standard deviation for monarchs. c. Find the variances for presidents, popes, and monarchs. d. Are there any obvious outliers? e. What is the level of measurement of the data (nominal, ordinal, interval, ratio)? 2. COMPARING TWO MEANS Treating the data as samples from larger populations, test the claim that there is a significant difference between the mean of presidents and the mean of popes.