Course Title: Business Statistics and Probability I
Assignement # 2 Graphs and Charts
Exercise 1
The following data represent the afternoon high temperatures (in Fahrenheit “°F”) for 50
construction days during a year in St. Louis (Missouri).
a. Construct a frequency distribution for the data using five class intervals.
b. Construct a histogram and a frequency polygon
c. Construct a frequency distribution for the data using 10 class intervals.
d. Examine the results of (a) and (b) and comment on the usefulness of the frequency
distribution in terms of temperature summarization capability.
Exercise 2
A northwestern distribution company surveyed 53 of its midlevel managers. The survey
obtained the ages of these managers, which later were organized into the frequency
distribution shown.
a. Determine the class midpoint, relative frequency, and cumulative frequency for these
data.
b. Construct a histogram and a frequency polygon.
c. Construct an ogive.
Exercise 3
Shown here is a list of the industries with the largest total release of toxic chemicals in a
recent year according to the U.S. Environmental Protection Agency.
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a. Determine the relative frequency and the cumulative frequency for these data.
b. Construct a pie chart and a bar chart to depict this information.
Exercise 4
A manufacturing company produces plastic bottles for the dairy industry. Some of the bottles
are rejected because of poor quality. Causes of poor-quality bottles include faulty plastic,
incorrect labeling, discoloration, incorrect thickness, broken handle, and others. The following
data for 500 plastic bottles that were rejected include the problems and the frequency of the
problems.
a. Use these data to determine the relative frequency and the cumulative frequency
b. Construct a Pareto chart. Discuss the implications of the chart.
Exercise 5
A research organization selected 50 U.S. towns with Census 2000 populations between 4,000
and 6,000 as a sample to represent small towns for survey purposes. The populations of these
towns follow. Construct a stem-and-leaf plot for the data, letting each leaf contain two digits.
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INTERPRETING THE OUTPUT
Exercise 6
Suppose 150 shoppers at an upscale mall are interviewed and one of the questions asked is the
household income. Study the Minitab histogram of the following data and discuss what can be
learned about the shoppers.
Exercise 7
Shown here is an Excel-produced pie chart representing physician specialties. What does the
chart tell you about the various specialties?
Exercise 8
Suppose 100 CPA firms are surveyed to determine how many audits they perform over a
certain time. The data are summarized using the Minitab stem-and-leaf plot shown in the next
column. What can you learn about the number of audits being performed by these firms from
this plot?
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Exercise 9
The following Excel ogive shows toy sales by a company over a 12-month period. What
conclusions can you reach about toy sales at this company?
