Quiz 1
True/False
Indicate whether the statement is true or false.
I
____
1. A local cable system using a sample of 1000 subscribers estimates that fifty percent of its subscribers
watch premium channel at least five times per week. This is an example of inferential statistics as
opposed to descriptive statistics.
F
____
2. Groupings of data, created to enhance an understanding of them, usually by making the groups
collectively exhaustive and mutually exclusive are called classes or categories.
T
____
3. Time series data are often graphically depicted on a line chart, which is a plot of the variable of
interest over time.
T
____
4. A skewed histogram is one with a long tail extending either to the right or left.
F
____
5. When constructing a relative frequency distribution, if the data are discrete, it will always be
necessary to develop class boundaries.
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Descriptive statistics deals with methods of:
a.
b.
c.
d.
e.
____
2. Which of the following is not the goal of descriptive statistics?
a.
b.
c.
d.
e.
____
organizing data
summarizing data
presenting data in a convenient and informative way
all of these
only organizing and summarizing data
summarizing data
displaying aspects of the collected data
reporting numerical findings
estimating characteristics of the population based on a sample inferential
none of these
3. You asked ten of your classmates about their weight. On the basis of this information, you stated that
the average weight of all students in your university or college is 158 pounds. This is an example of:
a.
b.
c.
d.
e.
descriptive statistics
statistical inference
sample
population
sample and population
____
4. The best type of chart for comparing two sets of qualitative data is:
a.
b.
c.
d.
e.
____
5. The sum of the frequencies for all classes will always equal:
a.
b.
c.
d.
e.
____
a line chart
a pie chart
a histogram
a bar chart
all of these
the number of classes
the class width
the total number of observations in the data set
one
the average
6. A politician who is running for the office of governor of a state with 7 million registered voters
commissions a survey. In the survey, 55% of the 10,000 registered voters interviewed say they plan
to vote for her. The population of interest is the:
a.
b.
c.
d.
e.
____
7. The set of all possible observations about a specified characteristic of interest is:
a.
b.
c.
d.
e.
____
7 million registered voters in the state
10,000 registered voters interviewed
55 %, or 5,500 voters interviewed who plan to vote for her
45%, or 4,500 voters interviewed who plan not to vote for her
55% of the 7 million registered voters in the state
a frame
a multinomial data set
an observational study
a population
all of these
8. Which of the following statements is false?
a. When constructing a frequency distribution for categorical data, it will always be
necessary to develop class boundaries.
b. It is often a good idea to convert frequency distributions to relative frequency
distributions when you compare two distributions with different amount of data.
c. A pie is the familiar circular graph that shows how the measurements are
distributed among the categories of a qualitative variable.
d. None of these.
e. All of these.
____
9. Which of the following statements is true?
a. In constructing a pie chart for a categorical variable, one sector of the pie is
assigned to each category of the variable.
b. A bar chart for a categorical variable shows the same distribution of measurements
in categories as the pie chart, but with the height of each bar measuring how often
a particular category was observed.
c. The categories for a qualitative variable should be chosen so that a measurement
will belong to one and only one category, and each measurement has a category to
which it can be assigned.
d. In constructing a pie chart for a categorical variable, one sector of the pie is
assigned to each category of the variable and a bar chart for a categorical variable
shows the same distribution of measurements in categories as the pie chart, but
with the height of each bar measuring how often a particular category was
observed.
e. All of these.
____ 10. Given 180 observations, a data class with an absolute class frequency of 36 must have a relative
class frequency of:
a.
b.
c.
d.
e.
.10
.20
.36
.18
none of these
____ 11. A common rule of thumb in constructing a relative frequency histogram is to use:
a.
b.
c.
d.
e.
less than 5 classes
more than 10 classes
between 5 and 12 classes
any number of classes
at least 10 classes
____ 12. Which of the following is not recommended when constructing a relative frequency histogram?
a.
b.
c.
d.
e.
equal width classes
mutually exclusive classes
open-ended classes
none of these
all of these
____ 13. A bar chart is used to display a:
a.
b.
c.
d.
e.
time series data
continuous variable
qualitative variable
quantitative variable
discrete variable
____ 14. Which of the following statements is false?
a.
b.
c.
d.
e.
A bar chart and histogram can be used interchangeably.
The bars on a bar chart have the same width.
The simplest graph for quantitative data is the dotplot.
There are gaps between the bars in a bar chart.
All of these.
____ 15. The stem-and-leaf plot is used to display the distribution of:
a.
b.
c.
d.
qualitative data
quantitative data
two quantitative variables on the same chart
all of these
Problem
1. A highway department would like to repair a certain highway during the slowest part of a day to help
minimize traffic congestion. Because it would be impossible to monitor the traffic flow on every
day, they monitor how many vehicles pass on this highway during one particular day. Based on these
results the department decides when to repair the highway. Describe the population and sample in
this problem.
the traffic flow on
Population: ________________________________________________________
everyday
Sample: ________________________________________________________
the number of vehicles pass on the
highway during one particular day.
2. A neighborhood ice cream vendor would like to see if there is a relationship between day of the
week and the number of children buying ice cream from her. The following data represent the
number of children buying ice cream on each of the seven days of a particular week:
10
X
8
X
6
I
a. Construct a line chart to describe the data.
b. Is there any apparent trend in the data?
The number of children
buying
ice-scream increases
X
X
2
is
it
M
sharply atweekend
_______________________________________________________
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