Summarizing and Graphing Data — practice test 2B

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Dec 1, 2016

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Directions:
Give your answers to the short-answer items. Choose the correct answer for multiple-choice items.

Provide an appropriate response.
- 1. Describe at least two advantages to using stemplots rather than frequency distribution.
  
  Possible answer
  (Answers will vary). Possible answer: The shape of a distribution can readily be seen. The plot can be drawn quicker, since class width need not be calculated.
- 2. Suppose that a data set has a minimum value of 18 and a max of 83 and that you want 5 classes. Explain how to find the class width for this frequency table. What happens if you mistakenly use a class width of 13 instead of 14?
  
  Possible answer
  Since the range is 83 – 18 = 65, and 65 divided by 5 equals 13, a whole number. The class width has to be widened from 13 to 14. In this case, data values equal to 83 would not be included in the frequency distribution.
Solve the problem.
- 3. The following frequency distribution analyzes the scores on a math test. Find the class boundaries of scores interval 95-99.
- 1. 95.5, 99.5
  2. 95.5, 100.5
  3. 94.5, 100.5
  4. 94.5, 99.5
- 4. Using the information in the table on home sale prices in the city of Summerhill for the month of June, determine the width of each class.
- 1. 28
  2. 31
  3. 30
  4. 61
Construct the relative frequency distribution that corresponds to the given frequency distribution.
- 5.
- 1. the relative frequency distribution C
  2. the relative frequency distribution A
  3. the relative frequency distribution D
  4. the relative frequency distribution B
Solve the problem.
- 6. Use the high closing values of Naristar Inc. stock from the years 1992 – 2003 to construct a time-series graph. (Let x = 0 stand for 1992 and so on…) Identify a trend.
- Possible answer
  
  Trend: (Answers will vary) Except for a drop in high closing value in 1994, there was a steady rise through 2000, after which there was a sharp drop in 2001 followed by increases through 2003.
Construct the cumulative frequency distribution that corresponds to the given frequency distribution.
- 7.
- 1. the cumulative frequency distribution D
  2. the cumulative frequency distribution C
  3. the cumulative frequency distribution A
  4. the cumulative frequency distribution B
Provide an appropriate response.
- 8. Sturges’ guideline suggests that when constructing a frequency distribution, the ideal number of classes can be approximated by 1+(log n)/(log 2), where n is the number of data values. Use this guideline to find the ideal number of classes when the number of data values is 100. Round your answer to the nearest whole number.
  
  A nurse measured the blood pressure of each person who visited her clinic. Following is a relative-frequency histogram for the systolic blood pressure readings for those people aged between 25 and 40. Use the histogram to answer the question. The blood pressure readings were given to the nearest whole number.
- 1. 6
  2. 7
  3. 9
  4. 8
- 9. Approximately what percentage of the people aged 25–40 had a systolic blood pressure reading between 110 and 139 inclusive?
  1. 74%
  2. 59%
  3. 39%
  4. 89%
Provide and appropriate response.
- 10. Construct a frequency distribution and the corresponding histogram in which the following conditions are satisfied:
  -The frequency for the second class is twice the frequency of the first class.
  -In the histogram, the area of the bar corresponding to the second class is four times the area of the bar corresponding to the first class.
  What do you know about the width of the second class in relation to that of the first class?
- Possible answer
  (Answers will vary) Possible answer: The class width of the second class should be twice the class width of the first class.
Use the pie chart to solve the problem.
- 11. A survey of the 9225 vehicles on the campus of State University yielded the following circle graph.
- Find the number of vans. Round your result to the nearest whole number.
  1. 304
  2. 363
  3. 3625
  4. 3632
- 12. The pie chart below gives the inventory of the men’s department of a store.
- What is the total inventory?
  1. $58,820
  2. $58,720
  3. $57,820
  4. $57,720
Find the original data from the stem-and-leaf plot.
- 13.
- 1. 732, 735, 738, 742, 743, 749, 751, 758
  2. 75, 78, 81, 76, 77, 83, 76, 83
  3. 73258, 74239, 7518
  4. 732, 735, 748, 742, 743, 749, 751, 768
- 14.
- 1. 0.63, 1.23, 1.24, 1.44, 0.65, 1.45, 1.45
  2. 5.31, 5.32, 5.47, 5.49, 5.53, 5.59, 5.59
  3. 0.63, 0.63, 1.24, 1.24, 0.65, 1.45, 1.46
  4. 5.31, 5.37, 5.47, 5.49, 5.51, 5.59, 5.59
Construct the dot plot for the given data.
- 15. A store manager counts the number of customers who make a purchase in his store each day. The data are as follows:
  10 11 8 14 7 10 10 11 8 7
- 1. the dot plot B
  2. the dot plot A
  3. the dot plot C
  4. the dot plot D
Use the data to create a stemplot.
- 16. The attendance counts for this season’s basketball games are listed below.
  227 239 215 219
  221 233 229 233
  235 228 245 231
- 1. the stemplot B
  2. the stemplot A
Use the given paired data to construct a scatterplot.
- 17. The normal monthly precipitation (in inches) for August is listed for 39 different U.S. cities. Construct an expanded stemplot with about 9 rows.
  3.5 1.6 2.4 3.7 4.1 3.9 1.0 3.6 1.7 0.4 3.2 4.2 4.1
  4.2 3.4 3.7 2.2 1.5 4.2 3.4 2.7 4.0 2.0 0.8 3.6 3.7
  0.4 3.7 2.0 3.6 3.8 1.2 4.0 3.1 0.5 3.9 0.1 3.5 3.4
- 1. the stemplot B
  2. the stemplot A
Construct a pie chart representing the given data set.
- 18. After reviewing a movie, 900 people rated the movie as excellent, good, or fair. The following data give the rating distribution.
  Excellent — 180
  Good — 450
  Fair — 270
- 1. the pie chart A
  2. the pie chart B
Solve the problem.
- 19. At the National Criminologists Association’s annual convention, participants filled out a questionnaire asking what they thought was the most important cause for criminal behavior. The tally was as follows:
- Which of the Pareto carts is displays these findings?
- 1. the Pareto chart B
  2. the Pareto chart A
  3. the Pareto chart C
  4. the Pareto chart D
- 20. Use the given paired data to construct a scatterplot.
  x 0.31 0.88 0.49 0.23 0.14 0.72 -0.02 0.2
  y 0.33 0.12 0.76 0.65 -0.37 0.47 0.72 0.21
- 1. the scatterplot B
  2. the scatterplot D
  3. the scatterplot C
  4. the scatterplot A

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