Question 1 Table 1-1 below lists the 45 U.S. presidents and their age as they began their terms in office. Table 1-1: Age of U.S. Presidents as they began their terms in office Number 1 Name Washington Age Number Name Age 57 24 Cleveland 55 23456789 J. Adams 61 25 McKinley 54 Jefferson 57 26 T. Roosevelt 42 Madison 57 27 Taft 51 Monroe 58 28 Wilson 56 J. Q. Adams 57 29 Harding 55 Jackson 61 30 Coolidge 51 Van Buren 54 31 Hoover 54 9 W. H. 68 32 F. D. 51 Harrison Roosevelt 10 Tyler 51 33 Truman 60 11 Polk 49 34 Eisenhower 62 12 Taylor 64 35 13 Fillmore 50 36 14 Pierce 48 37 567 Kennedy 43 L. B. Johnson 55 Nixon 56 15 Buchanan 65 38 Ford 61 16 Lincoln 52 39 Carter 52 17 A. Johnson 56 40 Reagan 69 18 Grant 46 41 G. H. W. 64 Bush 19 Hayes 54 42 Clinton 20 Garfield 49 43 G. W. Bush 21 Arthur 50 44 22 Cleveland 47 45 Obama Trump 4748 46 54 70 23 B. Harrison 55 16 14 12 Table 1-2: Descriptive statistics of ages Age Mean 54.9778 Standard Error 0.9855 Median 55 Mode 54 Standard Deviation 6.6109 Sample Variance 43.7040 Kurtosis -0.1308 Skewness 0.3567 Range 28 Minimum 42 Maximum 70 Sum 2474 Count 45 1.6559 Confidence Level (90.0%) Figure 1-1: Histogram of ages 15 10 9 9 00 8 6 4 2 2 7 3 0 40 or below (40,45] (45, 50] (50,55] (55, 60] (60, 65] Above 65 Determine the first and third quartiles of the ages of U.S. presidents when they began their terms in office. (4 marks) (b) Develop a box plot (hint: the box plot should show the minimum, maximum, mean, 1st quartile, median, and 3rd quartile values of the data). (6 marks) BUS105e Copyright 2019 Singapore University of Social Sciences (SUSS) Examination - July Semester 2019 Page 3 of 14 (c) Summarise the information given in the question about the ages of U.S. presidents when they began their terms in office. (15 marks)