Final answer:
The median age of the US Presidents at the time of their inauguration is 57.
Step-by-step explanation:
To find the median of the ages of the US Presidents at the time of their inauguration, we need to organize the ages in ascending order and then determine the middle value of the list. Here are the ages of the US Presidents at the time of their inauguration:
Washington 57, J. Adams 61, Jefferson 57, Madison 57, Monroe 58, J. Q. Adams 57, Jackson 61, Van Buren 54, W. H. Harrison 68, Tyler 51, Polk 49, Taylor 64, Filmore 50, Pierce 48, Buchanan 65, Lincoln 52, A. Johnson 56, Grant 46, Hayes 54, Garfield 49, Arthur 51, Cleveland 47, B. Harrison 55, Cleveland 55, McKinley 54, T. Roosevelt 42, Taft 51, Wilson 56, Harding 55, Coolidge 51, Hoover 54, F. Roosevelt 51, Truman 60, Eisenhower 62, Kennedy 43, L. Johnson 55, Nixon 52, Ford 61, Carter 52, Reagan 69, G.H.W. Bush 64, Clinton 47, G. W. Bush 54, Obama 47.
By organizing the ages in ascending order, we get:
42, 43, 46, 47, 47, 48, 49, 49, 50, 51, 51, 51, 52, 52, 54, 54, 54, 55, 55, 56, 56, 57, 57, 57, 58, 60, 61, 62, 64, 64, 65, 68, 69.
Since there are 45 ages, the median will be the middle value, which is the 23rd value. In this case, the median age of the US Presidents at the time of their inauguration is 57.