Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A cumulative frequency table gives the number of cyclists with a speed below each value.
| Speed less than (km/h) | Cyclists |
|---|---|
| 10 | 6 |
| 20 | 18 |
| 30 | 41 |
| 40 | 57 |
| 50 | 64 |
Find the frequency of each class, and then find the median speed.
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 frequencies. The classes to , to , to , to and to have , , , and cyclists.
Step 2. The median class. . The running total is before and before , so the median class is to .
Step 3. The median. , , and . So km/h.
Answer: the frequency of to is and the median speed is km/h.
Log in to join the discussion.
Loading…