Statistics Short Problems - Age 14-16
Average Discovery
Find the missing number if the mean, median and mode are all the same.
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?
Mean Balance
Given information about the mean, can you work out the missing numbers?
Ladybird Football Team
The ladybird squad members have an average of 12 spots each. How many spots does the pine ladybird have?
Beta Rovers
Can you find the mode and median number of goals scored by Beta Rovers?
Smallest Range
What is the smallest possible range that these 4 integers could have?
Acceptance Rate
The mean number of students has changed, so how many students applied to a school?
Gamma City
Can you find the mode and median number of goals scored by Gamma City?
Algebraic Average
The mean of three numbers x, y and z is x. What is the mean of y and z?
Mean Median
Can you work out the median weight of these children from the given means?
Dopey Measurement
How does Snow White need to change her result after the mix-up?
Maximum Mean
What is the largest that the mean of these numbers could be?
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?
Changing Averages
Find the value of $m$ from these statements about a group of numbers
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?
Very Average
If each number in this list is the average of the two numbers before it, what is the value of a?
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?
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?