Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
The ages of members of a choir are shown in inclusive classes.
| Age (years) | Members |
|---|---|
| 21-30 | 8 |
| 31-40 | 15 |
| 41-50 | 24 |
| 51-60 | 14 |
| 61-70 | 9 |
Find the median age.
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.
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 class. . The running totals are , so the median class is to , with boundaries and .
Step 2. The values. , , and .
Step 3. The median. years.
Answer: the median age is years.
Check. The median lies inside the median class, to .
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