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Leah records how many minutes she reads each day for 11 days…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
Leah records how many minutes she reads each day for 11 days. Her made-up record, in order, is , and minutes. Find , the median, and the IQR.
Need a reminder? The key ideaShow
Sort the data. and are the medians of the lower and upper halves; with an odd count, leave the median out. The five-number summary is minimum, , median, , maximum.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The median. The 6th value is 22 minutes.
Step 2. The halves. Lower half: , so minutes. Upper half: , so minutes.
Step 3. The IQR. minutes.
Answer: min, median 22 min, min, IQR 15 min.
Check. Two values, 5 and 12, are below , and two, 34 and 45, are above . The middle seven values lie from 15 to 30 minutes.
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