Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
The table shows the scores of players in a game.
| Score | Players |
|---|---|
| 0-10 | 2 |
| 10-20 | 6 |
| 20-30 | 15 |
| 30-40 | 11 |
| 40-50 | 4 |
| 50-60 | 2 |
For a moderately skewed table, . It is an approximation only. With an open last class the mean cannot be found, but the median and the mode can be, when their classes are not the open class.
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 mean. The products are , and . So .
Step 2. The median. , so the median class is to , with and . Then .
Step 3. The mode. The modal class is to , with , and . Then .
Step 4. The estimate. .
Answer: mean , median , mode . The estimate is below the mode by the formula.
Check. The mean is above the median and the median is above the mode, as for data skewed to the right.
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