Name:
Probability & Statistics – Ms. D’Amato
Date:
Block:
Chapters 1 – 4 Test Review Packet
For questions #1 & #2, in each description of data, identify the W’s. Name the variables
and tell whether they are quantitative or categorical. For each quantitative variable
name its unit of measure.
1.) Medical researchers at a large city hospital investigating the impact of prenatal care on newborn
health collected data from 882 births during 1998-2000. They kept track of the mother’s age, the
number of weeks the pregnancy lasted, type of birth (cesarean, induced, natural), the level of
prenatal care the mother had (none, minimal, adequate), the birth weight and sex of the baby, and
whether the baby exhibited health problems (none, minor, major).

Who:
o Cases:

What:
o Variable:

Type:
 Units:
o Variable:

Type:
 Units:
o Variable:

Type:
 Units:
o Variable:

Type:
 Units:
o Variable:

Type:
 Units:
o Variable:

Type:
 Units:
o Variable:

Type:
 Units:

Where:

When:

Why:

How:
2.) A survey of autos parked in student and staff lots at a large university recorded the make, country
of origin, type of vehicle (car, van, SUV, etc.) and age.

Who:
o Cases:

What:
o Variable:

Type:
 Units:
o Variable:

Type:
 Units:
o Variable:

Type:
 Units:
o Variable:

Type:
 Units:

Where:

When:

Why:

How:
Categorical vs. Quantitative
For questions #3-8, classify the following variables as quantitative or categorical.
3.)
Gender
4.)
Age
5.)
Time
6.)
Length
7.)
Model of a car
8.)
Region of a country
9.)
Define ordinal variables.
10.)
Define identifier variables and provide examples.
Bar Charts and Pie Charts:
Company
Coca-Cola Co.
Pepsi-Cola Co.
Dr. Pepper/7-Up
Cott Corp.
National Beverage
Royal Crown
Other
Cases sold (millions)
4377.5
3119.5
1455.1
310.0
205.0
115.4
347.5
Market share (percent)
44.1
31.4
14.7
3.1
2.1
1.2
3.4
11.) Using the soft drink information above, make a bar chart of the cases sold.
12.) Now construct a pie chart of the market share using the soft drink information above.
Contingency Tables:
13.)
The table below is Census Bureau data on the years of school completed by Americans of
different ages. Many people under 25 years of age have not completed their education, so they
are left out of the table.
Years of school completed, by age, 2000 (thousands of persons)
Age group
Education
25 to 34
35 to 54
55 +
Total
Did not complete high school
4,474
9,155
14,224
27,853
Completed high school
11,546
26,481
20,060
58,087
1 to 3 years of college
10,700
22,618
11,127
44,445
4 or more years of college
11,066
23,183
10,596
44,845
Total
37,786
81,435
56,008
175,230
Answer the following questions. Show all work and round to the nearest tenth.
a.) What is the percent of people 25 years of age or older who have at least 4 years of college?
b.) What is the marginal distribution of education level in percents?
c.) What is the percent of people who are 25 to 34?
d.) What percent of people aged 25 to 34 have completed 4 years of college?
e.) What is the percent of people in the 55 and over age group who completed 4 or more years
of college?
f.) Find the conditional distribution of education level among 35 to 54-year-olds in percents.
Histograms:
14.)
Here are the weights (in pounds) of 20 steers on an experimental feed diet:
140
136
142
172
153
172
156
70
167
166
113
171
178
159
129
112
135
174
Create a histogram of the data. Please use 10 bins.

Is the data unimodal, bimodal, or uniform?

Is the histogram symmetric, skewed left, or skewed right?

Are there any outliers?
Stem-and-Leaf Display:
15.)
Using the same information from #14, create a stem-and-leaf display of the data.
16.)
The U.S. Food and Drug Administration limits the amount of caffeine in a 12-ounce can of
carbonated beverage to 72 milligrams (mg). Data on the caffeine content of popular soft drinks
are provided below. Create a split cell stem-and-leaf display of the data.
Brand
A&W Cream Soda
Barq’s Root Beer
Cherry Coca-Cola
Cherry RC Cola
Coca-Cola Classic
Diet A&W Cream Soda
Diet Cherry Coca-Cola
Diet Coke
Diet Dr. Pepper
Diet Mello Yellow
Diet Mountain Dew
Diet Mr. Pibb
Diet Pepsi-Cola
Diet Ruby Red Squirt
Diet Sun Drop
Diet Sunkist Orange Soda
Diet Wild Cherry Pepsi
Dr. Nehi
Dr. Pepper
Caffeine
(mg per 8-oz.
serving)
20
15
23
29
23
15
23
31
28
35
37
27
24
26
47
28
24
28
28
Brand
IBC Cherry Cola
Kick
KMX
Mello Yello
Mountain Dew
Mr. Pibb
Nehi Wild Red Soda
Pepsi One
Pepsi-Cola
RC Edge
Red Flash
Royal Crown Cola
Ruby Red Squirt
Sun Drop Cherry
Sun Drop Regular
Sunkist Orange Soda
Surge
TAB
Wild Cherry Pepsi
Caffeine
(mg per 8oz. Serving)
16
38
36
35
37
27
33
37
25
47
27
29
26
43
43
28
35
31
25