Mathematics
kierrahayes85
37

Jessie received the following scores on her math tests this year. (45, 65, 70, 80, 85, 100) Suppose the teacher removes the lowest and highest scores. (65, 70, 80, 85) What are the interquartile ranges of Jessie’s original scores and her new scores?

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(1) Answers
Hanington955

original : (45,65,70,80,85,100) Q1 = 65 Q2 = (70 + 80) / 2 = 150/2 = 75 Q3 = 85 IQR = Q3 - Q1 = 85 - 65 = 20 new : (65,70,80,85) Q1 = (65 + 70)/2 = 135/2 = 67.5 Q2 = (70 + 80) / 2 = 75 Q3 = (80 + 85) / 2 = 165/2 = 82.5 IQR = Q3 - Q1 = 82.5 - 67.5 = 15 IQR of original = 20 <===== IQR of new = 15 <=====

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