# Statistics Stage 3 - Short Problems

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:

 Stage 3 ★ Sheet 1 Solutions Stage 3★★ Sheet 1 Solutions Sheet 2 Solutions

##### KS 3 Short Challenge Level:

The ladybird five-a-side squad has six members. The average number of spots is 12. How many spots does the pine ladybird have?

### Balancing the Books

##### KS 3 Short Challenge Level:

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

### Average Discovery

##### KS 3 Short Challenge Level:

Find the missing number if the mean, median and mode are all the same.

### Choose the Mean

##### KS 3 Short Challenge Level:

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

### Mean Balance

##### KS 3 Short Challenge Level:

Given information about the mean, can you work out the missing numbers?

### Rugby and Ballet

##### KS 3 Short Challenge Level:

From the mean weight of five ballet dancers and the mean weight of ten rugby, what is the average weight of all fifteen people?

### Ice Cream Pie

##### KS 3 Short Challenge Level:

The pie chart shows the different types of ice creams that were sold last Saturday. How many chocolate ice creams were sold?

### Sevens

##### KS 3 Short Challenge Level:

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

### Kate's Date

##### KS 3 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?

### A Mean Calculation

##### KS 3 Short Challenge Level:

What is the mean of this set of numbers?

### Committees

##### KS 3 Short Challenge Level:

In a club, there are four committees, which are organised according to some rules. How many people are there in the committee?

### Equal Means

##### KS 3 Short Challenge Level:

What value of x makes the mean of the first three numbers in this list equal to the mean of the other four?

### Acceptance Rate

##### KS 3 Short Challenge Level:

Can you work out how many students applied to a school, if you know about how the mean number of students has changed?

### Rendezvous

##### KS 3 Short Challenge Level:

Five friends live in five towns in southern France. In which town should they meet to keep the total travelling distance as small as possible?

### Mean Median

##### KS 3 Short Challenge Level:

Can you work out the median weight of these children from the given means?

### Dopey Measurement

##### KS 3 Short Challenge Level:

How does Snow White need to change her value for mean-dwarf-height after a mix-up?

### Mean Square

##### KS 3 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?