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Question
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the number of absent students in 2 homeroom classes was recorded each day for a month. the 2 sets of data are displayed in the box plots.
mr. loper’s class had a dropdown menu with options: lower median, higher median, lower interquartile range, higher interquartile range than mrs. stewart’s class.
Step1: Identify median positions
The median is the middle line of the box in a box plot. For Mr. Laper’s class, the median line is at ~2.5; for Mrs. Stewart’s, it’s at ~1.5.
Step2: Compare medians
2.5 > 1.5, so Mr. Laper’s median is higher.
Step3: Check interquartile range (IQR)
IQR = Q3 - Q1. Mr. Laper’s IQR: ~3 - ~0.5 = 2.5; Mrs. Stewart’s IQR: ~2 - ~0.5 = 1.5. 2.5 > 1.5, so IQR is higher.
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higher median, higher interquartile range