Mean, Median, Mode & Range Calculator
Enter any list of numbers and instantly get the mean, median, mode, range — plus sum, count, minimum and maximum, worked out step by step.
Step-by-step
Statistics homework, data analysis, and everyday number-crunching all come back to the same four building blocks: mean, median, mode, and range. Our free Mean, Median, Mode & Range Calculator takes any list of numbers and instantly works out all four measures, along with the sum, count, minimum, and maximum — plus a full step-by-step breakdown so you can see exactly how each answer was reached.
Whether you’re a student checking homework, a teacher building a worked example, or someone analysing a quick data set at work, typing out these calculations by hand is slow and easy to get wrong — especially with larger data sets or repeated values that affect the mode. This tool removes that friction entirely: paste in your numbers, hit calculate, and get accurate results in under a second.
How to Use the Calculator
Enter your numbers into the input box separated by commas, spaces, or new lines — the calculator accepts decimals and negative numbers too. Click Calculate and you’ll instantly see:
- Mean — the average of all values.
- Median — the middle value once the data is sorted.
- Mode — the most frequently occurring value (or values, if there’s a tie).
- Range — the difference between the highest and lowest values.
Below the headline results, you’ll also find the count, sum, minimum, and maximum of your data set, along with a plain-English, step-by-step explanation of exactly how each figure was calculated — ideal for checking your own working or following along with a lesson.
Why Mean, Median, Mode & Range Matter
These four measures are the foundation of descriptive statistics, and each tells a different story about your data. The mean gives you a general average, but it can be skewed by extreme outliers. The median is often more reliable for skewed data sets, such as household incomes or house prices, because it isn’t dragged around by a handful of very high or very low values. The mode highlights the most common outcome, which is especially useful in surveys, inventory data, and grading. The range gives a quick sense of how spread out your data is, from tightly clustered to widely varied.
Understanding when to use each measure — rather than defaulting to the average every time — is a core statistics skill used everywhere from GCSE and A-Level maths to university research, business reporting, and data science.
Take Your Statistics Further
If you’re studying statistics regularly, a dedicated tool can make a big difference beyond a single calculation. We recommend the Texas Instruments TI-84 Plus CE Graphing Calculator — the standard choice for GCSE, A-Level, and university statistics courses, with built-in functions for mean, median, standard deviation, regression, and more, plus exam-board approval for most UK and US exams.
Frequently Asked Questions
The mean is the average of all values (sum divided by count). The median is the middle value when data is sorted from smallest to largest. The mode is the value that appears most often. Each can give a different “typical” value for the same data set.
A data set can have more than one mode if two or more values share the highest frequency — this is called being “bimodal” or “multimodal.” If every value appears exactly once, the data set has no mode at all.
When there’s an even count, there’s no single middle number, so the median is the average of the two middle values once the data is sorted in order.
Range measures spread — it’s the difference between the highest and lowest values. A small range means the data is clustered closely together; a large range means it’s more spread out.
Yes. Because the mean factors in every value, a few extremely high or low numbers (outliers) can pull it away from what most of the data actually looks like. In these cases, the median often gives a more representative picture.
Yes — the calculator accepts positive numbers, negative numbers, and decimals, and separates entries by commas, spaces, or new lines.
Yes. Alongside the results, it shows a full step-by-step breakdown of each calculation, making it useful for checking homework and understanding the working behind mean, median, mode, and range questions for GCSE, A-Level, and university-level statistics.
This content and calculator are provided for general educational purposes only and should not replace guidance from a teacher, tutor, or textbook when preparing for formal assessments.