Lesson 14.3 Assignment
Name_________________________________________________________ Date__________________________
Floor Plans and Tiles
Random Sampling
The table shows the names and ages of the 44 Presidents of the United States.
© 2011 Carnegie Learning
Presidents of the United States
Number
President
Age at
Inauguration
Number
President
Age at
Inauguration
1
George Washington
57
13
Millard Fillmore
50
2
John Adams
61
14
Franklin
Pierce
48
3
Thomas Jefferson
57
15
James Buchanan
65
4
James Madison
57
16
Abraham
Lincoln
52
5
James Monroe
58
17
Andrew Johnson
56
6
John Quincy
Adams
57
18
Ulysses S.
Grant
46
7
Andrew Jackson
61
19
Rutherford B.
Hayes
54
8
Martin Van
Buren
54
20
James A.
Garfield
49
9
William Henry
Harrison
68
21
Chester A.
Arthur
51
10
John Tyler
51
22
Grover Cleveland
47
11
James K. Polk
49
23
Benjamin Harrison
55
12
Zachary Taylor
64
24
Grover Cleveland
55
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Lesson 14.3 Assignment
page 2
Number
President
Age at
Inauguration
Number
President
Age at
Inauguration
25
William McKinley
54
35
John F. Kennedy
43
26
Theodore Roosevelt
42
36
Lyndon B.
Johnson
55
27
William Howard Taft
51
37
Richard Nixon
56
28
Woodrow Wilson
56
38
Gerald Ford
61
29
Warren G. Harding
55
39
Jimmy Carter
52
30
Calvin Coolidge
51
40
Ronald Reagan
69
31
Herbert Hoover
54
41
George H.W.
Bush
64
32
Franklin D.
Roosevelt
51
42
Bill Clinton
46
33
Harry S. Truman
60
43
George W.
Bush
54
34
Dwight D.
Eisenhower
62
44
Barack Obama
47
262 • Chapter 14 Assignments
© 2011 Carnegie Learning
Presidents of the United States
Lesson 14.3 Assignment
page 3
Name_________________________________________________________ Date__________________________
1. You want to determine the mean age of the U.S. Presidents at their inaugurations. Instead of
calculating the mean using all 44 Presidents’ ages, you will take a sample.
a. What is the population for this situation?
b. Select 10 Presidents whose ages best represent the mean age of a U.S. President at
inauguration.
c. Record the ages of these Presidents.
© 2011 Carnegie Learning
d. Explain why you chose these Presidents.
e. Is this a random sample? Explain your reasoning.
Chapter 14 Assignments • 263
Lesson 14.3 Assignment
page 4
f. Calculate the mean age of the Presidents you selected. Round to the nearest year.
Show your work.
g. Record the mean age you calculated and the mean age your classmates calculated
on the line plot.
Mean Age of U.S. Presidents at Inauguration
40
45
50
55
Age (in years)
60
65
70
© 2011 Carnegie Learning
h. Describe the distribution of the line plot in part (g).
264 • Chapter 14 Assignments
Lesson 14.3 Assignment
page 5
Name_________________________________________________________ Date__________________________
2. You decide to use another method to choose presidents.
a. Randomly select 10 Presidents using the random number generator on a calculator, a random
number table, or some other method. Record the ages of these Presidents.
b. Is this a random sample? Explain your reasoning.
c. Calculate the mean age of the Presidents you selected. Round to the nearest year.
© 2011 Carnegie Learning
Show your work.
d. Is the mean age of the 10 Presidents you selected a statistic or parameter?
Explain your reasoning.
Chapter 14 Assignments • 265
Lesson 14.3 Assignment
page 6
e. Record the mean age you calculated and the mean age your classmates calculated on
the line plot.
Mean Age of U.S. Presidents at Inauguration
40
45
50
55
Age (in years)
60
65
70
f. Calculate the actual mean age at inauguration of all 44 Presidents. Round to the nearest year.
Plot this age with an M on the line plot in part (e).
3. Why is a random sample more desirable than a sample that is not chosen randomly?
266 • Chapter 14 Assignments
© 2011 Carnegie Learning
g. Describe the distribution of the line plot in part (e).