This table lists the ages of the presidents and vice presidents of the United States when they first took office.

a. Enter the two separate lists of data into your calculator and calculate the mean the standard deviation, s, the median, and the IQR for each list. Compare the data sets based on these statistics.
b. Graph a histogram for each data set. Use the same range and scale for each graph. Describe how the histograms reflect the statistics of each data set.
c. Calculate xi - / s for each entry, and create two new lists to convert the ages in each list to a standardized scale.
d. What is the range of values in each of the new distributions? Explain what the new distributions represent.
e. Graph a histogram for each of these standardized distributions. Use domain - 3.5 ‰¤ x ‰¤ 3.5.
f. Compare and describe the graphs.

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President Age President ice president J. Adams efferson Bur G. H. Clinton Gerry Tompkins Calhoun Van Buren R. M. Johnson Tyler Dallas Fillmore King Breckinridge Hamlin A. Johnson Colfax Wilson Wheeler Artnu Hendricks Morton Stevensorn Age Vice president 53 Hobart 53 T. Roosevelt 45 Fairbanks 65 Sherman 68 Marshall 42 Coolidge 42 Dawes 50 Cuutis 56 Garner 50 Wallace 52 Truman 49 Barkley 66 Nixon 36 L B. Jomson 51 Hmmphrey 56 Agnew 45 Ford 61 Rockefeller 57 Mondale 51 G. H. W. Bush56 65 Quayle 64 Gore 57 Cheney Washington 57McKinley 54 52 J. Adams Jefferson Madison Monroe J. Q. Adams Jackson Van 61 T. Roosevelt 57 Taft 57 Wilson 58 Harding 57 Coolidge 61 Hoover 54 F. D. Roosevelt 51 42 52 56 58 48 59 69 Buren W. Harrison 68 Tyler Polk Taylor | 64 ILB Johnson Fillmore Pierce Buchanan Lincoln A. Johmson Grant Hayes Garield 60 62 51 Eisenhower 49 Kemedy 52 60 71 50 Nixon 48 Ford 65 Crter 56 61 52 52 Reagan 50 56 G. H. W. Bush 46 W. Clinton 4 G. W. Bush 49 50 64 46 54 49 Cleveland B. Harrison 59