Summarizing Data Graphically
Name _______________________________
Chapter 2 Homework
Read each problem carefully. Write your answer in the blank, or circle the correct answer.
1. The pie chart below depicts the beverage size customers choose while at a fast food restaurant.
What is the most popular size?
What percentage of customers choose this size?
a) Large; 52%
b) Small; 22%
c) Medium; 16%
d) XL; 10%
What is the least popular size?
What percentage of customers choose this size?
a) Large; 52%
b) Small; 22%
c) Medium; 16%
d) XL; 10%
If there were 500 customers, how many would you expect to choose a medium-sized beverage?
a) 80
b) 16
c) 110
d) 260
2. The following data represent the percent of owners of an electronic device that plan to purchase a
replacement device within the next 12 months based on a survey of 1100 adults in a certain country.
What percent of game console owners plan to buy a
replacement device within the next 12 months?
a) 6.3%
b) 14.8%
c) 10.4%
d) 18.8%
If there are 250 million individuals who own a cell phone,
how many expect to replace their phone within the next 12 months?
a) 37.25
b) 37,250,000
c) 3,725
d) 3,725,000,000
3. According to a language association, the number of college students studying a foreign language is
increasing. The following data represent the foreign language being studied based on a simple
random sample of 30 students learning a foreign language.
Spanish
Chinese
Spanish
Spanish
Spanish
Chinese
German
Spanish
Spanish
French
Spanish
Spanish
Japanese
French
Spanish
Construct a Frequency Distribution:
Language
Chinese
French
German
Italian
Japanese
Latin
Russian
Spanish
German
German
Spanish
Italian
Spanish
Italian
Japanese
Spanish
Spanish
Russian
Construct a Relative Frequency Distribution:
Frequency
Language
Chinese
French
German
Italian
Japanese
Latin
Russian
Spanish
Relative Frequency (2 dec)
Which of the following is the correct frequency bar graph?
a)
b)
c)
Which of the following is the correct relative frequency bar graph?
a)
b)
4. Describe the shape of the following graph.
a) Skewed left
b) Symmetric
c) Skewed right
Spanish
Spanish
Latin
Russian
French
c)
5. Consider the information in the following chart. Could the information provided be organized into a
pie chart?
a)
b)
c)
d)
No.
No.
Yes.
No.
The values in the table are not decimals.
There are more than 3 categories of data.
The information could be organized into a pie chart.
The percentages add up to more than 100%.
6. An experiment was conducted in which two fair dice were thrown 100 times. The sum of the two
dice was then recorded. The following frequency histogram gives the results.
What was the most frequent outcome of the experiment? _________
What was the least frequent outcome of the experiment? __________
How many times did we observe a sum of 6? ____________
Determine the percentage of times a 6 was observed. _____________
Describe the shape of the distribution.
a) Skewed left
b) Symmetric
c) Skewed right
7. The following data represent the number of people in a particular state aged 18-67 with a high school
education.
Age
Number
(thousands)
What is the number of classes? _____________
18 – 27.9
178
28 – 37.9
200
What are the class limits for the third class?
38 – 47.9
237
Lower limit = __________
Upper limit = __________
48 – 57.9
155
58 – 67.9
190
What is the class width? __________
8. The following frequency histogram represents the IQ scores of a random sample of seventh-grade
students. IQs are measured to the nearest whole numbers. The frequency of each class is labeled
above each rectangle.
How many students were sampled?
a) 10
b) 80
c) 160
d) 200
Which class has the highest frequency?
a) 100-109
b) 90-99
c) 100-110
d) 105
Which class has the lowest frequency?
a) 155
b) 150-159
c) 60-69
d) 70-79
9. The following data represent the number of grams of fat in breakfast meals offered at a local fast
food restaurant. Construct a stem and leaf plot.
12
15
10
28
14
8
24
8
14
41
23
20
34
8
22
27
35
15
18
34
32
3
Stem
0
1
2
3
4
Leaves
10. The following data represent the number of potholes on 35 randomly selected 1-mile stretches of
highway around a particular city.
Construct a Frequency Distribution:
Potholes
1
2
3
4
5
6
7
Frequency
Which of the following is the correct frequency histogram?
a)
b)
c)
d)
Describe the shape of the distribution.
a) Skewed left
b) Symmetric
c) Skewed right
11. A newspaper article claimed that the afternoon hours were the worst in terms of robberies and
provided the following graph in support of this claim. Explain how the graph is misleading. Choose
the ONE BEST answer.
a) All of the bars are the same color, so they tend to blend visually with each other. This makes
the graph hard to read.
b) The vertical axis has no units. This can mislead readers into thinking that the percentages
are actually counts.
c) The vertical axis stops at 25%. It should go all the way up to 100% to accurately show
percentage data.
d) Not all of the time intervals are the same size. Redistributing the time interval so they are all
the same size may lead to a different shape.