This is part of our collection of Short Problems.

You may also be interested in our longer problems on Statistics - Stage 4.

Printable worksheets containing selections of these problems are available here

problem

### Partial Means

From the mean of 64 numbers, and the mean of the first 36 of these numbers, can you work out the mean of the last 28 numbers?

problem

### Ladybird Football Team

The ladybird squad members have an average of 12 spots each. How many spots does the pine ladybird have?

problem

### Equal Means

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

problem

### Acceptance Rate

The mean number of students has changed, so how many students applied to a school?

problem

### Prize Pony

When Helen moved her favourite pony from one stable to another, the average value of the horses in each stable increased by Â£10000. What is the total value of all the ponies?

problem

### Possible Range

The median of a set of five positive integers is one more than the mode and one less than the mean. Can you find the largest range possible?

problem

### Pay Attention

If some of the audience fell asleep for some of this talk, what was the average proportion of the talk that people heard?

problem

### Very Average

If each number in this list is the average of the two numbers before it, what is the value of a?