Question 8.104

73. Among high-performing (and low-performing) schools, there is an unrepresentatively ________ proportion of smaller schools. Explain whether you would complete this sentence with the word “high” or “low,” in light of the formula for the standard deviation of the sampling distribution of the mean.

73.

high; since the standard deviation for a sampling distribution is , smaller schools will have a smaller value for . This will result in more variable means and therefore will be overrepresented in the list of very highest and very lowest performers.