The harlowe school district gives awards to its schools based on overall student attendance. the data for attendance are shown in the table, where low represents the fewest days attended and high represents the most days attended for a single student.

school low high range mean median iqr σ
school a 98 180 82 158 148 55.5 35.2
school b 105 180 75 145 124 48.5 28.2
school c 102 180 78 169 151 53.5 31.3

part a: if the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? justify your answer mathematically. (5 points)

part b: if the school district wants to award the school with the highest average attendance, which school should it choose and why? justify your answer mathematically. (5 points)

In a test for esp (extrasensory perception), the experimenter looks at cards that are hidden from the subject. each card contains either a star, a circle, a wave, a cross or a square.(five shapes) as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. when the esp study described above discovers a subject whose performance appears to be better than guessing, the study continues at greater length. the experimenter looks at many cards bearing one of five shapes (star, square, circle, wave, and cross) in an order determined by random numbers. the subject cannot see the experimenter as he looks at each card in turn, in order to avoid any possible nonverbal clues. the answers of a subject who does not have esp should be independent observations, each with probability 1/5 of success. we record 1000 attempts. which of the following assumptions must be met in order to solve this problem? it's reasonable to assume normality 0.8(1000), 0.2(1000)%30 approximately normal 0.8(1000), 0.2(1000)% 10 approximately normal srs it is reasonable to assume the total number of cards is over 10,000 it is reasonable to assume the total number of cards is over 1000