This is part of our collection of Short Problems.

You may also be interested in our longer problems on Statistics - Stage 3.

Printable worksheets containing selections of these problems are available here

problem

### Ice Cream Pie

The pie chart shows the different types of ice creams on sale. How many chocolate ice creams were sold?

problem

### Kate's Date

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

problem

### Balancing the Books

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

problem

### Bat Wings

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

problem

### The Mean Problem

Can you work out the four unknown numbers from the clues about their means?

problem

### Rendezvous

In which town should five friends meet, in order to keep the total travelling distance as small as possible?

problem

### Sevens

What is the largest number Sophie can use to have seven positive integers with a mean of 7?

problem

### Mean Square

Can you fill this square so that the number in the middle of each line is the mean of the two numbers on either side of it?

problem

### Average temperature

The average temperature of six cities is 5$^\circ$C. What is the average temperature when two cities are added?

problem

### Grandpa's Rock Cakes

Grandpa made a super-heavy rock cake. Five people have guessed the weight of the cake. Can you work out the weight of his cake?

problem

### Committees

Every member of the club is a member of two committees. How many members are there in the club?

problem

### Number of arms

What is the probability that the next person you meet has an above average number of arms?

problem

### Any Means Possible

Can you find a way to break one of these rods so that one of the pieces is equal to the mean of the other two?