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Problem 30

Not a histogram Find a graph other than a histogram that shows the distribution of a quantitative variable in a newspaper, a magazine, or the Internet. a. Does the article identify the W's? b. Discuss whether the display is appropriate for the data. c. Discuss what the display reveals about the variable and its distribution.

Problem 31

Centers in the news Find an article in a newspaper, a magazine, or the Internet that discusses an "average." a. Does the article discuss the W's for the data? b. What are the units of the variable? c. Is the average used the median or the mean? How can you tell? d. Is the choice of median or mean appropriate for the situation? Explain.

Problem 32

Spreads in the news Find an article in a newspaper, a magazine, or the Internet that discusses a measure of spread. a. Does the article discuss the W's for the data? b. What are the units of the variable? c. Does the article use the range, \(I \mathrm{QR},\) or standard deviation? d. Is the choice of measure of spread appropriate for the situation? Explain.

Problem 33

Thinking about shape Would you expect distributions of these variables to be uniform, unimodal, or bimodal? Symmetric or skewed? Explain why. a. The number of speeding tickets each student in the senior class of a college has ever had b. Players' scores (number of strokes) at the U.S. Open golf tournament in a given year c. Weights of female babies born in a particular hospital over the course of a year d. The length of the average hair on the heads of students in a large class

Problem 34

More shapes Would you expect distributions of these variables to be uniform, unimodal, or bimodal? Symmetric or skewed? Explain why. a. Ages of people at a Little League game b. Number of siblings of people in your class c. Pulse rates of college-age males d. Number of times each face of a die shows in 100 tosses

Problem 37

Magnet schools An article in the Winter 2003 issue of Chance magazine (www.chance.amstat.org) reported on the Houston Independent School District's magnet schools programs. Of the 1755 qualified applicants, 931 were accepted, 298 were wait-listed, and 526 were turned away for lack of space. Find the relative frequency distribution of the decisions made, and write a sentence describing it.

Problem 38

Magnet schools again The Chance article about the Houston magnet schools program described in Exercise \(37 \square\) also indicated that 517 applicants were black or Hispanic, 292 Asian, and 946 white. Summarize the relative frequency distribution of ethnicity with a sentence or two (in the proper context, of course).

Problem 49

Super Bowl points 2016 How many points do football teams score in the Super Bowl? Here are the total numbers of points scored by both teams in each of the first 50 Super Bowl games. (Data in Super Bowl 2016) 45,47,23,30,29,27,21,31,22,38,46,37,66,50,37,47 \(44,47,54,56,59,52,36,65,39,61,69,43,75,44,56,55,\) \(53,39,41,37,69,61,45,31,46,31,50,48,56,38,65,51,\) 52,34 a. Find the median. b. Find the quartiles. c. Make a histogram and write a brief description of the distribution.

Problem 54

Sick days During contract negotiations, a company seeks to change the number of sick days employees may take, saying that the annual "average" is 7 days of absence per employee. The union negotiators counter that the "average" employee misses only 3 days of work each year. a. Explain how both sides might be correct, identifying the measure of center you think each side is using and why the difference might exist. b. Do their choices of summaries make sense?

Problem 56

Tornadoes 2015 Here are the annual numbers of deaths from tornadoes in the United States from 1995 through 2015: 30,25,67,130,94,41,40,55,54,35,38,67,81,126,21 45,553,70,55,47,36 Find these statistics: a. mean b. median and quartiles c. range and \(1 Q R\)

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