Summarizing and Graphing Data — practice test 2C

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Dec 5, 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. Suppose you are comparing frequency data for two different groups, 25 managers and 150 blue collar workers. Why would a relative frequency distribution be better than a frequency distribution?
  
  Possible answer
  (Answers will vary) Possible answer: A relative frequency distribution is better for comparison between groups whose numbers are different, since ratios are readily comparable.
- 2. Create an example displaying data in a pie chart. Display the same data in a Pareto chart. Which graph is more effective? List at least two reasons in support of your choice.
  
  Possible answer
  Answer should include the fact that pie charts are better for showing categories that are parts of a whole, whereas Pareto charts are better for displaying relative importance among categories.
Solve the problem.
- 3. Using the employment information in the table on Alpha Corporation, find the class boundaries for class 26-30.
- 1. 26.5, 29.5
  2. 26.5, 30.5
  3. 25.5, 20.5
  4. 25.5, 30.5
- 4. Using the information in the table on home sale prices in the city of Summerhill for the month of June, find the class midpoint for class 235.0-265.9.
- 1. 250.50
  2. 250.45
  3. 250.55
  4. 250.40
Construct the cumulative frequency distribution that corresponds to the given frequency distribution.
- 5.
- 1. the cumulative frequency distribution C
  2. the cumulative frequency distribution D
  3. the cumulative frequency distribution A
  4. the cumulative frequency distribution B
Use the given data to construct a frequency distribution.
- 6. On a math test, the scores of 24 students were
  
  98 72 71 64 71 71 98 84 71 68 81 72
  72 81 71 72 81 71 72 84 72 81 84 64
  
  Construct a frequency table. Use 4 classes beginning with a lower class limit of 60.
  
  Possible answer
Provide an appropriate response.
- 7. 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 150. Round you answer to the nearest whole number.
  1. 7
  2. 8
  3. 9
  4. 6
- 8. What common class width was used to construct the frequency distribution?
  
  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. 10
  2. 11
  3. 100
  4. 9
Provide and appropriate response.
- 9. Construct a frequency distribution that includes an outlier. Construct the corresponding histogram. Then, construct the corresponding histogram without including the outlier.
  How much does the outlier affect the shape of the histogram?
- Possible answer
  Answers will vary. Possible answer: The outlier does not drastically change the shape of the histogram. Rather, it appears far removed from the contiguous bars of the histogram.
Use the pie chart to solve the problem.
- 10. A survey of the 9189 vehicles on the campus of State University yielded the following circle graph.
- Find the number of convertibles. Round your result to the nearest whole number.
  1. 1378
  2. 919
  3. 15
  4. 7811
- 11. The pie chart below gives the number of students in the residence halls at the state university.
- Write the ratio of the number of residents at Brown to the number of students at Adams?
  1. ²⁴/₁₉₁
  2. ⁶/₅
  3. ⁵/₆
  4. ¹⁴⁴/₁₉₁
Use the data to create a stemplot.
- 12. The weights of 22 members of the varsity football team are listed below.
  144 152 142 151 160 152 131 164 141 153 140
  144 175 156 147 133 172 159 135 159 148 171
- 1. the stemplot B
  2. the stemplot A
Construct the got plot the given data.
- 13. The frequency chart shows the distribution of defects for the machines used to produce a product.
- 1. the dot plot B
  2. the dot plot D
  3. the dot plot A
  4. the dot plot C
Use the data to create a stemplot.
- 14. The ages of the 45 members of a track and field team are listed below. Construct an expanded stemplot with about 8 rows.
  21 18 42 35 32 21 44 25 38 48 14 19 23 22 28
  32 34 27 31 17 16 41 37 22 24 33 32 21 26 30
  22 27 32 30 20 18 17 21 15 26 36 31 40 16 25
- 1. the stemplot A
  2. the stemplot B
Find the original data from the stem-and-leaf plot.
- 15.
- 1. 5, 12, 5, 5, 7, 10, 7, 7, 9, 14, 15, 10, 11, 14
  2. 41, 48, 51, 51, 53, 56, 61, 63, 63, 68, 69, 73, 74
  3. 41, 48, 53, 53, 56, 63, 64, 68, 69, 73, 74
  4. 43, 43, 44, 51, 51, 53, 56, 61, 61, 73, 74
- 16.
- 1. 3847, 3891, 3913, 3921, 3978, 4047, 4091
  2. 85, 129, 60, 60, 117, 87, 131
  3. 3847, 3848, 3914, 3921, 3978, 4047, 4092
  4. 85, 129, 52, 60, 117, 87, 131
Solve the problem.
- 17. The Kappa Iota Sigma Fraternity polled its members on the weekend party theme. The vote was as follows: six for toga, four for hayride, eight for beer bash, and two for masquerade. Display the vote count in a Pareto chart.
- 1. the Pareto chart C
  2. the Pareto chart B
  3. the Pareto chart D
  4. the Pareto chart A
Construct a pie chart representing the given data set.
- 18. The following figures give the distribution of land (in acres) for a county containing 61,000 acres.
  Forest — 9150
  Farm — 6100
  Urban — 45,750
- 1. the pie chart A
  2. the pie chart B
Solve the problem.
- 19. A college student wants to purchase one of two stocks. She has the average annual high values for each of these stocks over the most recent ten-year period. For comparison, she decides to sketch a time-series graph. How should she prepare her graph, and what should she look for?
- Possible answer
  The student should plot her data on a baseline marked by year and with vertical axis marked by high values. The stock that shows less volatility and a steady rise would be the better choice.
- 20. Use the given paired data to construct a scatterplot.
  x -6 4 9 5 11 7 1 -1 -5
  y 3 9 11 7 9 11 7 2 3
- 1. the scatterplot B
  2. the scatterplot D
  3. the scatterplot A
  4. the scatterplot C

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