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Nine students need 8, 10, 11, 12, 14, 15, 16, 18 and 70 minutes to reach school.
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
Nine students need and minutes to reach school.
- Find the range and the IQR.
- Leave out the , and find them again.
- Which measure changed more?
Need a reminder? The key ideaShow
Range = largest smallest. Q1 and Q3 are the medians of the lower and upper halves (leave the median out when the count is odd), and IQR .
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. With the 70. Range minutes. Lower half gives ; upper half gives . IQR minutes.
Step 2. Without it. Range minutes. Lower half gives ; upper half gives . IQR minutes.
Step 3. Which changed more. The range fell from 62 to 10 minutes. The IQR moved only from 6.5 to 5 minutes.
Answer: and ; then and minutes; the range.
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