U.S. PRESIDENTS
Stat 101: Extra Credit #6 [1.0]
Due: ______
Name: __________________________
Submit this sheet and associated SPSS output. Remember to explain your answers where you are requested to do so.
Data File: PRESIDENTS.SAV
Variable: Age
The data for this extra credit assignment are noted below and are on-line in the SPSS data file, PRESIDENTS.sav. For some
items you may obtain the information from SPSS; for others you will have to manually calculate the data/chart.
U. S. Presidents’ Ages at time of inauguration
Roosevelt T 42
Garfield 49
Lincoln 52
Harrison 55
Washington 57
Jackson 61
Regan
69
Kennedy
Fillmore
Carter
Cleveland
Jefferson
Ford
Obama
43
50
52
55
57
61
48
Grant
46
Arthur
50
Van Buren 54
Harding 55
Madison 57
Eisenhower 62
Clinton 46
Tyler
51
Hayes
54
Johnson L 55
Adams JQ 57
Bush GHW 62
Cleveland 47
Taft
51
McKinley 54
Johnson A 56
Monroe 58
Taylor
64
Pierce
Coolidge
Hoover
Wilson
Truman
Buchanan
48
51
54
56
60
65
Polk
49
Roosevelt F 51
Bush GW 54
Nixon
56
Adams J 61
Harrison 68
1) Statistics & Charts [.2]: For the variable AGE, obtain the following items via SPSS and attach a printout:
a) The Five-Number-Summary, Mean, Mode, Range, Standard Deviation
b) A dot plot of the data (found at: Graphs, scatter plot)
c) A box plot of the data (or draw your own)
d) The mean and median differ. In this situation, if you wanted to use only one of these statistics to discuss
the middle of your data, which would you select and why?
e) By the way, are these values statistics or parameters? Why?
2) Modified Boxplot Components [.4]: For the variable AGE, on the boxplot identify the five-number-summary points.
Next to it calculate the following values for the box plot and the distribution.
a) Determine the IQR of the data
b) Determine the upper and lower limits for the whiskers
c) Identify the adjacent points to which a whisker may be drawn (if any)
d) Identify outliers
3) Distribution Shape [.2]:
a) Looking at the dot plot for AGE and/or the box plot, how would you characterize the shape of the distribution?
b) Use Pearson’s Index of Skewness to determine if the distribution is skewed. What value would indicate a perfect,
bell-shaped distribution? Given the value you calculated, what can you say about this distribution?
4) Variation [.2]: Given an inaugural age of 69, how many standard deviations away from the mean was RR?
5) History Channel Trivia: Which two former Presidents died on the same day? The Bush’s are related, The Adam’s were
related as were the Roosevelt’s. Were the Cleveland’s related? Who had the longest inauguration speech and why was that
important historically? Are we still paying for the Spanish/American war? When was that war anyway?
f: CS - Persidents.doc