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- 1. Open Ended
In Exercises 1 – 4, use the ogive, which represents the cumulative frequency distribution for quantitative reasoning scores on the Graduate Record Examination in a recent range of years. (Adapted from Educational Testing Service)
What score represents the 70th percentile? How should you interpret this?
- 2. Open Ended
In Exercises 1 – 4, use the ogive, which represents the cumulative frequency distribution for quantitative reasoning scores on the Graduate Record Examination in a recent range of years. (Adapted from Educational Testing Service)
Which score represents the 40th percentile? How should you interpret this?
- 3. Open Ended
In Exercises 1 – 4, use the ogive, which represents the cumulative frequency distribution for quantitative reasoning scores on the Graduate Record Examination in a recent range of years. (Adapted from Educational Testing Service)
What percentile is a score of 140? How should you interpret this?
- 4. Open Ended
In Exercises 1 – 4, use the ogive, which represents the cumulative frequency distribution for quantitative reasoning scores on the Graduate Record Examination in a recent range of years. (Adapted from Educational Testing Service)
What percentile is a score of 170? How should you interpret this?
- 5. Open Ended
In Exercises 5 – 7, use the data set, which represents wait times (in minutes) for various services at a state’s Department of Motor Vehicles locations.
Which wait time represents the 50th percentile?
- 6. Open Ended
In Exercises 5 – 7, use the data set, which represents wait times (in minutes) for various services at a state’s Department of Motor Vehicles locations.
Find the percentile that corresponds to a wait time of 20 minutes.
- 7. Open Ended
In Exercises 5 – 7, use the data set, which represents wait times (in minutes) for various services at a state’s Department of Motor Vehicles locations.
Which wait times are between the 25th and 75th percentiles?
- 8. Open Ended
The distribution of the ages of the winners of the Tour de France from 1903 to 2016 is approximately bell-shaped. The mean age is 27.9 years, with a standard deviation of 3.3 years. In Exercises 8 – 10, use the corresponding z-score to determine whether the age is unusual. Explain your reasoning. (Source: Le Tour de France)
Winner: Jan Ullrich Age: 24
- 9. Open Ended
The distribution of the ages of the winners of the Tour de France from 1903 to 2016 is approximately bell-shaped. The mean age is 27.9 years, with a standard deviation of 3.3 years. In Exercises 8 – 10, use the corresponding z-score to determine whether the age is unusual. Explain your reasoning. (Source: Le Tour de France)
Winner: Firmin Lambot Age: 36
- 10. Open Ended
The distribution of the ages of the winners of the Tour de France from 1903 to 2016 is approximately bell-shaped. The mean age is 27.9 years, with a standard deviation of 3.3 years. In Exercises 8 – 10, use the corresponding z-score to determine whether the age is unusual. Explain your reasoning. (Source: Le Tour de France)
Winner: Christopher Froome Age: 28
- 11. Open Ended
The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at the Academy Awards from 1929 to 2016. The distributions of the ages are approximately bell-shaped. In Exercises 11 and 12, compare the z-scores for the actors.
Best Actor 2005: Jamie Foxx, Age: 37
Best Supporting Actor 2005: Morgan Freeman, Age: 67
- 12. Open Ended
The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at the Academy Awards from 1929 to 2016. The distributions of the ages are approximately bell-shaped. In Exercises 11 and 12, compare the z-scores for the actors.
Best Actor 1982: Henry Fonda, Age: 76
Best Supporting Actor 1982: John Gielgud, Age: 77
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