The Kellen 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 IRQ σ
High School W 108 180 72 169 150 47.5 29.5
High School X 112 180 68 160 124 49.5 32.4
High School Z 130 180 50 162 151 39.5 27.5
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.
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