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MathematicsMathematics
15 January, 10:55

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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Answers (2)
  1. 15 January, 11:04
    0
    a) Choose Z since the σ is smallest. The smaller the σ the higher the consistency. Also we can see that the fewest day the student attendance is higher than other while the highest day is the same with others. (L = 130, H = 180)

    b) Choose W since mean in W is the highest.
  2. 15 January, 11:19
    0
    High school z should there overall numbers are better and that is what matters to the school district part b again z it is just the best
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