Question

averages he ool district, would the av sleading when a data set com ral tendency, does the distrihution,,川 110 haet 10. Find th If the salaries represented every leacher in the school distric Which measure of central tendency can he misleading one is comparing the measures of central tendenc 6 When skewness? Explain appr See page 170 for the answers r a recent year, the worth (in billions sample of the 10 wealthiest people under is shown 14, 12, 48, 20. 18, 18. 12.6. 10.4, 7.3, .3 The worth of a sample of 10 of the wealthi age 60 and over is shown 41.0, 13.7, 10.0, 18.0, 11.3, 7.6. 7, 1206 Based on the averages, can you conct de years old and over have a higher net Source: Forbes magazine of dollas the age sta 6. Fo of For Exercises I through S, find (a) the mean, th) t median, te) the mode, and id) the midrange. (GPA) for the 25 top-ranked medical schools is listed below I. The average undergraduate grade point average 1113 3.86 376 3.68 367 3.57 .83 370 3.80 3.74 3.67 41ヅ 64 12 280 80 3.77 3.70 3.74 3.70 that thoe 3.66 3.78 3.74 3.73 3.65 3.75 3.64 3.78 3.73 3,64 Sounce: US News&World Report Best Graduare Schns 7. Twelve major earthquakes had ter 2. The heights (in feet) of the 20 highest waterfalls shown here. 7.0, 6.2, 7.7, 8.0, 6.4, 6.2, 7.2, 5.4, 6.4, 6.5, 7.2, 5.4 Which would you consider the best Source: The Universal Almanac in the world are shown here. (Note: The height of Niagara Falls is 182 feet!) 3212 2800 2625 2540 2499 2425 2307 2151 2123 2000 904 1841 1650 1612 1536 1388 1215 1198 1182 1170 Source: WE Times Amanc 3. The following data are the number of burglaries reported for a specific year for nine western 8. The data shown are the total compensation (in million Pennsylvania universities. Which measure of average might be the best in this case? Explain your answer. of dollars) for the 50 top-paid CEOs for a recent year. Compare the averages, and state which one you think is the best measure. 61, 11, 1, 3, 2, 30, 18, 3,7 Source: Pirshurgh Post Grzelle. 4. For a recent year, the number of suspensions in a sample of public schools in Beaver County was 67, 12, 11, 92, and 13. The number of suspensions in a sample of public schools in Butler County was 56, 12, 18, and 21. Do you 17.5 18.0 36.8 31.7 31.7 17.3 24.3 47.7 38.5 170 23.7 16.5 25.1 17.4 18.0 37.6 19.7 21.4 28.6 21.6 19.3 20.0 16.9 25.2 19.8 25.0 17.2 20.4 20.1 29.1 think that there is a difference in the averages? Source: U.S. Department of Education 19.1 25.2 23.2 25.9 24.0 41.7 24.0 16.8 26.8 314 16.9 17.2 24.1 J5. A researcher claims that each year, there are an average of 300 victims of identity theft in major cities. Twelve were randomly selected, and the number of victims of identity 22.9 8.2 25.4 35.4 25. 35.2 theft in each city is shown. Can you conclude that the researcher was correct? Source: USA TODAY 9. Find the (a) mean, (b) median, (c) mode, and 574 229 663 372 102 88 117 239 465 136 189 75 (d) midrange for the data in Exercise 17 in Section s the distribution symmetric or skewed? Use the individual data values 3-16

Answer 1