# Statistics Short Problems - Age 11-14

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

### Choose the Mean

##### Age 11 to 14 Short Challenge Level:

Find 4 numbers which have a mean of 7, a median of 8 and a mode of 9.

### Rugby and Ballet

##### Age 11 to 14 Short Challenge Level:

What is the average weight of five ballet dancers and ten rugby players?

### Ice Cream Pie

##### Age 11 to 14 Short Challenge Level:

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

### Kate's Date

##### Age 11 to 14 Short Challenge Level:

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

### Balancing the Books

##### Age 11 to 14 Short Challenge Level:

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

### Range of Averages

##### Age 11 to 14 Short Challenge Level:

Find these 4 numbers, given their mode, median and range.

### The Mean Problem

##### Age 11 to 14 Short Challenge Level:

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

### Average Temperature

##### Age 11 to 14 Short Challenge Level:

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

### Rendezvous

##### Age 11 to 14 Short Challenge Level:

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

### Alpha United

##### Age 11 to 14 Short Challenge Level:

Can you find the mode and median number of goals scored by Alpha United?

### Bat Wings

##### Age 11 to 14 Short Challenge Level:

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

### Shifting Average

##### Age 11 to 14 Short Challenge Level:

What happens to the average if you subtract 8 from all of the numbers?

### French Test

##### Age 11 to 14 Short Challenge Level:

What was the average score in this French test?

### Sevens

##### Age 11 to 14 Short Challenge Level:

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

### Mean Square

##### Age 11 to 14 Short Challenge Level:

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?

### The Average Age

##### Age 11 to 14 Short Challenge Level:

Given this information about averages, find the ages of these teachers.

### Growing Families

##### Age 11 to 14 Short Challenge Level:

What do these statistics about family size mean?

### Any Means Possible

##### Age 11 to 14 Short Challenge Level:

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?

### Number of Arms

##### Age 11 to 14 Short Challenge Level:

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

### Committees

##### Age 11 to 14 Short Challenge Level:

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

### Grandpa's Rock Cakes

##### Age 11 to 14 Short Challenge Level:

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?