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# M, M and M

## You may also like

### Bat Wings

### Kate's Date

### Balancing the Books

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Age 11 to 14

Challenge Level

There are several sets of five positive whole numbers with the following properties:

- Mean = 4
- Median = 3
- Mode = 3

Can you find **all** the different sets of five positive whole numbers that satisfy these conditions?

Can you explain how you know you've found them all?

*If you enjoyed this problem, you may be interested in Unequal Averages.*

Two students collected some data on the wingspan of bats, but each lost a measurement. Can you find the missing information?

When Kate ate a giant date, the average weight of the dates decreased. What was the weight of the date that Kate ate?

How many visitors does a tourist attraction need next week in order to break even?