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