Problem 5. Open with Google Docs The following data set shows the post-presidency timespan: the number of complete years passed since the day the presidents left their office till their death. The incumbent and 5 former presidents are alive, and thus do not appear in the dataset. No President Years No President Years George Washington 2 21 Chester A. Arthur John Adams 25 22 Grover Cleveland 19 Thomas Jefferson 17 23 Benjamin Harrison 8 James Madison 19 24 Grover Cleveland 11 James Monroe 6 25 William Mckinley 0 John Quincy Adams 18 26 Theodore Roosevelt 9 Andrew Jackson 8 27 William H. Taft 17 8 Martin Van Buren 21 28 Woodrow Wilson 2 9 William Henry Harrison 0 29 Warren G. Harding 0 10 John Tyler 16 30 Calvin Coolidge 3 11 James K. Polk 0 31 Herbert Hoover 31 12 Zachary Taylor 0 32 Franklin D. Roosevelt 0 13 Millard Fillmore 21 33 Harry S. Truman 19 14 Franklin Pierce 12 34 Dwight D. Eisenhower 8 15 ames Buchanan 35 John F. Kennedy 0 16 Abraham Lincoln 36 Lyndon B. Johnson 4 17 Andrew Johnson 6 37 Richard M. Nixon 19 18 Jlysses S. Grant 38 Gerald R. Ford 29 19 Rutherford B. Hayes 40 Ronald Reagan 15 20 James A. Garfield 41 George H. W. Bush 25 There are two different values for the post-presidency timespan of Grover Cleveland, who served two non-consecutive terms (22 d and 24th U.S. president). a) What is the mode for the variable "years"? What do you think is the reason why this value occurs in the dataset so frequently (brief explanation is fine)? Hint: recall that "years" stand for the number of complete years passed since the day the presidents left their office till their death. (0.1 points) b) Construct a frequency table for the variable "years", using 8 non-overlapping classes. As a small help, I determined the lower limit for the first class, and the upper limit for the last class - you need to complete the frequency table in the cover sheet. (0.4 points) c) Draw a histogram based on the frequency table you constructed in b), however plot the relative frequency on the vertical axis of the histogram. Is this histogram symmetrical, left-skewed or right-skewed? (0.4 points) Note your histogram does not need to look super fancy, as long as it has been drawn correctly and it can be readable, this will be sufficient. d) What is the share of the U.S. presidents that have lived at most 11 years since the day they left the presidential office? Report your number in percentages. (0.3 points) Page 4 +