Forty customers waited the times shown at a service desk. Find the median class and the median.
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
Forty customers waited the times shown at a service desk.
| Time (minutes) | Customers |
|---|---|
| 0-10 | 5 |
| 10-20 | 6 |
| 20-30 | 16 |
| 30-40 | 9 |
| 40-50 | 4 |
Find the median class and the median.
Need a reminder? The key ideaShow
The cumulative frequency is a running total. The median class is the first class whose cumulative frequency reaches , and
with the cumulative frequency of the class before it. For inclusive classes use the boundaries.
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 cumulative frequencies. .
Step 2. The median class. . The running total first passes in the class to , so this is the median class.
Step 3. The values. , , and .
Step 4. The median. , or minutes.
Answer: the median class is to and the median is minutes.
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