Chapter 1.5, Problem 1.33E

a.

To determine

To find:The shape of the distribution.

Answer to Problem 1.33E

The shape of the distribution is symmetric.

Explanation of Solution

Given information: The data is shown below.

Washington	67	Arthur	56
J. Adams	90	Cleveland	71
Jefferson	83	B.Harrison	67
Madison	85	McKinley	58
Monroe	73	T.Roosevelt	60
J.0.Adams	80	Taft	72
Jackson	78	Wilson	67
Van Buren	79	Harding	57
W.H.Harrison	68	Coolidge	60
Tyler	71	Hoover	90
Polk	53	F.D.Roosevelt	63
Taylor	65	Truman	88
Fillmore	74	Eisenhower	78
Pierce	64	Kennedy	46
Buchanan	77	L. Johnson	64
Lincoln	56	Nixon	81
A. Johnson	66	Ford	93
Grant	63	Carter	93
Hayes	70	Reagan	93
Garfield	49

Calculation:

The distribution is consisting of the ages at death per the presidents and the data is looking like symmetric.

Thus, the shape of the distribution is symmetric.

b.

To determine

To find: The stem and leaf plot for the data.

The stem and leaf plot for the data is shown in Figure-1.

Answer to Problem 1.33E

The stem and leaf plot for the data is shown in Figure-1.

Explanation of Solution

Given information: The data is shown below.

Washington	67	Arthur	56
J. Adams	90	Cleveland	71
Jefferson	83	B.Harrison	67
Madison	85	McKinley	58
Monroe	73	T.Roosevelt	60
J.0.Adams	80	Taft	72
Jackson	78	Wilson	67
Van Buren	79	Harding	57
W.H.Harrison	68	Coolidge	60
Tyler	71	Hoover	90
Polk	53	F.D.Roosevelt	63
Taylor	65	Truman	88
Fillmore	74	Eisenhower	78
Pierce	64	Kennedy	46
Buchanan	77	L. Johnson	64
Lincoln	56	Nixon	81
A. Johnson	66	Ford	93
Grant	63	Carter	93
Hayes	70	Reagan	93
Garfield	49

Calculation:

The stem and leaf plot is shown below.

  

Figure-1

Thus, the stem and leaf plot for the data is shown in Figure-1.

c.

To determine

To explain:The five youngest presidents at time of death appear in lower tail.

Explanation of Solution

Given information: The data is shown below.

Washington	67	Arthur	56
J. Adams	90	Cleveland	71
Jefferson	83	B.Harrison	67
Madison	85	McKinley	58
Monroe	73	T.Roosevelt	60
J.0.Adams	80	Taft	72
Jackson	78	Wilson	67
Van Buren	79	Harding	57
W.H.Harrison	68	Coolidge	60
Tyler	71	Hoover	90
Polk	53	F.D.Roosevelt	63
Taylor	65	Truman	88
Fillmore	74	Eisenhower	78
Pierce	64	Kennedy	46
Buchanan	77	L. Johnson	64
Lincoln	56	Nixon	81
A. Johnson	66	Ford	93
Grant	63	Carter	93
Hayes	70	Reagan	93
Garfield	49

From Figure-1 it is clear that The five youngest presidents at time of death appear in lower tail are Kennedy at age of 46, Garfield at age of 49, Polk at age of 53, Arthur at age of 56 and Lincoln at age of 56.