The Harris school district gives awards to its schools based on overall student attendance. The data for attendance are shown in the table below, where Min represents the fewest days attended and Max represents the most days attended for a single student: School Min Max Range Mean Median IQR σ
High School A 98 180 82 158 148 55.5 35.2
High School B 105 1 80 75 145 124 48.5 28.2
High 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.

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.