11+ Maths: Mean, Median, Mode and Range Practice
21 October 2026
Understanding averages in 11+ Maths
Statistical measures like mean, median, mode and range often appear in 11+ Maths. These concepts help children make sense of data and are key skills for exam success.
What is the mean
The mean is the average of a set of numbers. To find it, add up all the numbers and divide by how many numbers there are.
What is the median
The median is the middle value when all the numbers are put in order. If there is an even number of values, the median is the average of the two middle numbers.
What is the mode
The mode is the number that appears most often in a set. There can be more than one mode, or none if all numbers are different.
What is the range
The range measures how spread out the numbers are. To find it, subtract the smallest number from the largest.
Worked example
Let's use this set: 3, 7, 7, 10, 15
Step 1: Mean
Add the numbers: 3 + 7 + 7 + 10 + 15 = 42
Divide by 5 (the number of values): 42 ÷ 5 = 8.4
Step 2: Median
Put the numbers in order: 3, 7, 7, 10, 15
The middle value is 7, so the median is 7
Step 3: Mode
The number 7 appears twice, more than any other number. So, the mode is 7
Step 4: Range Largest number is 15, smallest is 3 15 - 3 = 12
Results: Mean = 8.4, Median = 7, Mode = 7, Range = 12
Key insight: Practising mean, median, mode and range builds confidence in handling data questions and helps children spot patterns quickly in the 11+ exam.
