Mean, median, mode and range calculator
Paste or type your data — separated by commas, spaces or new lines — and this calculator sorts it and works out every average GCSE statistics questions ask for: mean, median, mode and range, plus quartiles, the interquartile range and the standard deviation for A Level work. The ordered list is shown so you can check your sorting too.
Enter your data set
Mean
6.6
Median
7
Mode
7 (appears 3 times)
Range
10
Ordered data (10 values): 2, 3, 4, 5, 7, 7, 7, 9, 10, 12
Total: 66 · Mean working: 66 ÷ 10 = 6.6
Lower quartile Q1: 4.25 · Upper quartile Q3: 8.5 · IQR: 4.25
Smallest: 2 · Largest: 12 · Standard deviation: 3.0067
The method behind it
- Mean = total of all values ÷ how many values.
- Median = middle value once ordered (mean of the two middle values if there is an even count).
- Range = largest − smallest; IQR = Q3 − Q1.
How to use this tool
1. Enter your data
Type or paste the values separated by commas, spaces or new lines. Decimals and negatives are fine.
2. Check the ordered list
The calculator sorts the data for you. Most median and quartile marks are lost through careless sorting, so compare it with your own ordering.
3. Pick the right average
Use the mean for a balanced set, the median when there are extreme values, and the mode for the most common category.
Frequently asked questions
How do you find the median of an even number of values?
Order the data, then take the mean of the two middle values. With 10 values, the median is halfway between the 5th and 6th numbers.
What is the interquartile range?
The interquartile range is the upper quartile minus the lower quartile (IQR = Q3 − Q1). It measures the spread of the middle half of the data and is not affected by outliers, unlike the range.
Can a data set have more than one mode?
Yes. If two or more values are equally the most frequent, the set is bimodal or multimodal and you list all of them. If every value appears once, there is no mode.
When should I use the median instead of the mean?
Use the median when the data contains outliers or is strongly skewed, because one very large or very small value drags the mean away from the typical value while the median stays representative.
Practise this properly, not just once
A solver gives you the answer; exam marks come from the working. MathsGradeUp pairs exam-board questions with step-by-step feedback and revision notes on the exact topics you keep dropping marks on.