QuICK CHECK Check all of the situations that you would expect to be approximately normally distributed. \( \square \) the SAT scores of high school seniors \( \square \) the salaries for members of a professional football team the shoe sizes of 17-year-old males the at which a child loses his or her first tooth toner
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The SAT scores of high school seniors are generally expected to follow a normal distribution due to the large number of test-takers and the design of the exam, which aims to assess a broad range of academic abilities. This results in a bell-shaped curve where most students score near the average, with fewer students scoring very high or very low. On the other hand, the salaries for members of a professional football team are likely to be highly skewed. A small number of star players tend to earn significantly more than the average player, leading to a distribution that is not normal. This can create an interesting spectacle in salary comparisons, as the elite few can greatly impact the overall average.