Summarizing Data Graphically

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School

California State University, Northridge *

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140

Subject

Statistics

Date

Feb 20, 2024

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pdf

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Uploaded by MasterMusicMeerkat5

Summarizing Data Graphically Written Activity The dotplot at the right shows how many times a computer was used daily at a public library during a 30-day period. Use information from the dotplot to answer the next two questions. 1. Describe the shape of the distribution. The type of shape of this graph could be seen as Symmetric, since the information of the graph is in the middle and it tapers off into both sides. 2. The library does not want patrons to wait in line. Usually, a line develops when a computer is used more than 40 times in a day. What percent of days during the 30-day period did this occur? Round to the nearest whole percent. Use the histogram at the right to answer the next three questions. The histogram shows the distribution of the number of cell phones owned by 210 households of five or more people with a minimum age of nine. 3. According to the histogram, about how many households do not own any cell phones? About 10 do not own a cell phone. 4. According to the histogram, about how many households own four or more cell phones? 50 do own cell phones. 5. About what percentage of households own no more than three cell phones? The histograms at the right show the distribution of the amount of time per week spent outside of school on extracurricular athletic activities for high school boys and high school girls. Use the histograms to answer the next four questions. 6. Compare and describe the shape of the distributions. 7. About how many boys spend 7 hours or more on extracurricular athletic activities? 8. About what percent of girls spent 8 hours or more on extracurricular athletic activities each week? About what percent of boys spent 8 hours or more on extracurricular athletic activities each week? 9. Which group is more likely to spend 8 hours or more on extracurricular athletic activities each week? Which group is more likely to spend 6 hours or less on extracurricular athletic activities each week?

The histograms at the right show the distribution of quiz scores on a ten point math quiz with and without a fifteen minute review before the quiz. 10. Describe the different shapes of the distributions. Does it appear that the fifteen minute review resulted in improved quiz scores? Explain the statistical evidence that supports your conclusion. 11. Open the StatCrunch dataset GOLF DRIVES , the drive distances of professional players. Determine the population of interest, and the type of each variable (categorical or quantitative). 12. Use StatCrunch to create a histogram for the average drive distances. Describe the shape of the distribution of the average drive distances. 13. Open the StatCrunch dataset PIZZA PRICES , the prices of a small, plain pizza over 156 weeks in Dallas, Texas. Determine the population of interest, and the type of each variable (categorical or quantitative). 14. Use StatCrunch to create a histogram for the prices. Write a brief description of the distribution (shape, center, spread, and unusual features). 15. Open the StatCrunch dataset HAPPINESS , the level of happiness of both male and female survey respondents. Use StatCrunch to create two separate histograms, one for males and one for females. Write a brief description of each distribution (shape, center, spread, and unusual features). 16. Does it appear that women are happier than men? Explain. 17. Open the StatCrunch dataset BIRTH WEIGHTS , the birth weights of babies born to smoking and non-smoking mothers. Use StatCrunch to create two separate histograms, one for smoking mothers and one for non-smoking mothers. Write a brief description of each distribution (shape, center, spread, and unusual features). 18. Does it appear that smoking during pregnancy is associated with lower birth weights? Explain. 19. Open the StatCrunch dataset HOLIDAY SPENDING , a survey of how much people spent for gifts during the holidays. Use StatCrunch to create two separate histograms, one for men and one for women. Write a brief description of each distribution (shape, center, spread, and unusual features).

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