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Question
- the data set represents the number of minutes curtis spent on math homework for the first 3 weeks of school. 22, 27, 5, 0, 4, 15, 18, 20, 24, 19, 11, 15, 13
based on the data set, complete the boxplot below for the number of minutes curtis spent on math homework.
Step1: Sort the data set
$0,4,5,11,13,15,15,18,19,20,22,24,27$
Step2: Find the median (Q2)
There are 13 data - points. The median is the 7th value. So, Q2 = 15.
Step3: Find the lower half of the data
The lower half is $0,4,5,11,13,15$. The median of the lower half (Q1) is the 3rd value, so Q1 = 5.
Step4: Find the upper half of the data
The upper half is $18,19,20,22,24,27$. The median of the upper half (Q3) is the 3rd value of this half, so Q3 = 20.
Step5: Identify the minimum and maximum
The minimum is 0 and the maximum is 27.
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From left - to - right in the boxes: 5, 15, 20