# 129 a survey of enrollment at 35 community colleges

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129.A survey of enrollment at 35 community colleges across the United States yielded the following figures:6414; 1550; 2109; 9350; 21828; 4300; 5944; 5722; 2825; 2044; 5481; 5200; 5853; 2750; 10012; 6357; 27000; 9414; 7681;3200; 17500; 9200; 7380; 18314; 6557; 13713; 17768; 7493; 2771; 2861; 1263; 7285; 28165; 5080; 11622a.Organize the data into a chart with five intervals of equal width. Label the two columns "Enrollment" and"Frequency."b.Construct a histogram of the data.c.If you were to build a new community college, which piece of information would be more valuable: the mode orthe mean?d.Calculate the sample mean.e.Calculate the sample standard deviation.f.A school with an enrollment of 8000 would be how many standard deviations away from the mean?Use the following information to answer the next two exercises. X= the number of days per week that 100 clients use aparticular exercise facility.xFrequency031122333284115964Table 2.85130.The 80thpercentile is _____a.5b.80c.3d.4131.The number that is 1.5 standard deviations BELOW the mean is approximately _____a.0.7b.4.8c.–2.8d.Cannot be determinedChapter 2 | Descriptive Statistics119
132.Suppose that a publisher conducted a survey asking adult consumers the number of fiction paperback books they hadpurchased in the previous month. The results are summarized in theTable 2.86.# of booksFreq.Rel. Freq.0181242243224155107591Table 2.86a.Are there any outliers in the data? Use an appropriate numerical test involving theIQRto identify outliers, if any,and clearly state your conclusion.b.If a data value is identified as an outlier, what should be done about it?c.Are any data values further than two standard deviations away from the mean? In some situations, statisticiansmay use this criteria to identify data values that are unusual, compared to the other data values. (Note that thiscriteria is most appropriate to use for data that is mound-shaped and symmetric, rather than for skewed data.)d.Do parts a and c of this problem give the same answer?e.Examine the shape of the data. Which part, a or c, of this question gives a more appropriate result for this data?f.Based on the shape of the data which is the most appropriate measure of center for this data: mean, median ormode?REFERENCES2.1 Display DataBurbary, Ken.Facebook Demographics Revisited – 2001 Statistics,2011. Available online at 2011/03/facebook-demographics-revisited-2011-statistics-2/ (accessed August 21, 2013).“9th Annual AP Report to the Nation.” CollegeBoard, 2013. Available online at -findings/promoting-equity (accessed September 13, 2013).“Overweight and Obesity: Adult Obesity Facts.” Centers for Disease Control and Prevention. Available online at (accessed September 13, 2013).Data on annual homicides in Detroit, 1961–73, from Gunst & Mason’s book ‘Regression Analysis and its Application’,Marcel Dekker“Timeline: Guide to the U.S. Presidents: Information on every president’s birthplace, political party, term of office,and more.” Scholastic, 2013. Available online at (accessed April 3, 2013).

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