Final answer:
In mathematics, specifically statistics, for a high school scenario where 8 percent of students participate in after-school sports all four years, you would expect about 5 out of 60 seniors to have participated in such sports. If none participated, this would be statistically surprising based on the 8 percent participation rate.
Step-by-step explanation:
The question primarily deals with the probability and statistics concepts in mathematics at the high school level. A school administrator is interested in knowing the number of seniors who have participated in after-school sports all four years of high school. Given that approximately 8 percent of students participate in sports throughout high school, for a group of 60 seniors, you would expect 0.08 times 60 seniors, which equals 4.8, to have participated in sports all four years.
Thus, about 5 seniors (since you cannot have a fraction of a student) would be the expected number of participants in after-school sports for four years. If no seniors participated, this would be surprising based on the numerical values because, on average, you'd expect about 5 out of 60 to have participated, given the 8 percent participation rate.