Chapter 3 Test Review

1. Define the following: Frequency:

Relative Frequency:

Cumulative Frequency:

Binning:

Distribution:

2. Explain why the value in the last category of a cumulative frequency table is equal to the total number of data values.

3. What is the difference between a Pareto chart and a bar graph?

4. When would it NOT make sense to create a Pareto chart?

5. When would it NOT make sense to create a pie chart?

6. What is the difference between a bar graph and a histogram?

7. What is a time-series diagram? 8. How do you read a stack plot?

9. What is the difference between a color-coded map and a contour map?

10. What are the most common things to look for in a graph to determine if it is misleading?

11. States with high deer populations have a large number of car-deer collisions. A survey of 30 drivers aged 40-49 in Wisconsin asked each driver how many such collisions they had had since obtaining a driver’s license. The data are as follows:

4 0 3 6 3 2 4 1 1 2 8 2 1 3 5 1 1 2 1 5 0 0 9 2 6 5 3 2 4 4

Create a frequency table that includes the relative frequency and the cumulative frequency.

What percentage of drivers had 3 or more collisions? 12. Survey 20 classmates on a topic of your choice (height, weight, shoe size, number of pets, etc.) and then use that data to create a frequency table with bins.

13. Create a bar chart using the data from #11. Be sure to include a title and all appropriate labels!

14. The following dotplot was a result of someone tossing a die 50 times. Turn the dotplot into a bar graph with all appropriate labels. 15. From 1929 through 2007, NCAA Division I Wrestling Championships have been won by only 9 teams as shown below. Construct a Pareto chart using this data.

Team Number of Champions Oklahoma State 30 Oklahoma 8 Minnesota 3 Iowa 20 Iowa State 1 Arizona State 1 Northern Iowa 1 Penn State 1 Cornell 1 Michigan State 1

16. On the Lanesville Wildcat football team, there were 5 Seniors, 17 Juniors, 12 Sophomores, and 16 Freshman. Construct a pie chart showing the distribution of the players among the four classes. (Each sector is 10 degrees) 17. The histogram below shows the ages of the actors who won the academy award for best actor from 1970 to 2006. How many of the award winners were 50 years old or older at the time they won their Oscar?

18. The 47 businesses on four blocks of Monument Street were classified according to the amount of sales taxes they collected in one month. Construct a histogram for these data. Taxes ($) Frequency 0-1999 7 2000-3999 11 4000-5999 14 6000-7999 8 8000-9999 5 10000-11999 2

19. Construct a line chart for the data in #18. 20. List the original data from the stem-and-leaf plot. Stem Leaves 7.1 1, 8 7.2 8, 8 7.3 1, 8, 8

21. Given the stem-and-leaf plot in #20, how many values are less than 7.31?

22. The weights (in pounds) of 15 newborn babies are listed below. Create a stem-and- leaf plot to represent the data. Be sure to include a key.

5.5 5.1 4.8 5.9 7.7 6.7 9.2 5.5 6.3 6.7 8.4 8.8 7.9 8.3 7.2

23. Hank Aaron’s batting averages for each year he played major league baseball (1954- 1976) are listed below (in order starting with 1954, reading left to right). Create a time-series diagram for these data.

0.280 0.314 0.328 0.322 0.326 0.355 0.292 0.327 0.323 0.319

0.328 0.318 0.279 0.307 0.287 0.300 0.298 0.327 0.265 0.301

0.268 0.234 0.229 24. Using the diagram below, identify the utility that has its smallest percentage of the total bill in April.

25. The average salaries of men and women between the years 1980 and 2000 are listed below. Create a multiple line chart to represent these data.

Year Average Annual Average Annual Salary Salary for Men for Women 1980 $35,000 $22,000 1985 $41,000 $28,000 1990 $47,000 $37,000 1995 $51,000 $49,000 2000 $54,000 $52,000

26. Describe why the following graphs are misleading. a.

b.

c.

d.

27. Explain what this contour map shows. What does it represent when the contours are wide? What does it represent when the contours are close together?