According to the “freshman 15” legend, college freshmen gain 15 pounds (or 6.8 kilograms) during their freshman year. Listed below are the amounts of weight change (in kilograms) for a simple random sample of freshmen included in a study (“Changes in Body Weight and Fat Mass of Men and Women in the First Year of College: A Study of the ‘Freshman 15’” by Hoffman, Policastro, Quick, and Lee, Journal of American College Health, Vol. 55, No. 1). Positive values correspond to students who gained weight and negative values correspond to students who lost weight. Is a weight gain of 15 pounds (or 6.8 kg) unusual? Why or why not? If 15 pounds (or 6.8 kg) is not unusual, does that support the legend of the “freshman 15”?
1 1 3 0 -2 3 -2 -2 5
-2 7 2 4 1 8 1 0 -5 2