Mean Median Mode Calculator
Calculate mean, median, mode, and range for any list of numbers. Enter data separated by commas for instant statistical analysis.
Coming in the next update
This calculator is being added shortly. All formula logic is already implemented in the controller layer.
About the Mean Median Mode Calculator
The three measures of central tendency β mean, median, and mode β each describe the "typical" value in a dataset but in different ways. The mean (arithmetic average) uses all data values. The median is the middle value, unaffected by extremes. The mode is the most frequently occurring value. Choosing the right measure depends on your data's distribution and what you want to communicate.
Formula
Mean = Ξ£x Γ· n | Median = middle value | Mode = most frequent value
How It Works
Mean = sum of all values Γ· count. Median: sort values, take the middle one (or average the two middle values for even counts). Mode: find the most frequently occurring value (a dataset can have no mode, one mode, or multiple modes). Range = maximum β minimum. For [3, 5, 5, 7, 10, 12]: mean = 7, median = 6, mode = 5, range = 9.
Tips & Best Practices
- βAverage house prices always use median, not mean β a few mansions would distort the mean significantly.
- βMean = median in a perfectly symmetrical distribution; mean > median in right-skewed data.
- βIn a bimodal distribution, there are two modes β often indicating two distinct groups.
- βWeighted mean: assign importance weights to each value before averaging (used for GPA, portfolio returns).
- βTrimmed mean removes a percentage of extreme values before computing β balances mean and median.
Who Uses This Calculator
Students learning foundational statistics, journalists reporting on average earnings or house prices, market researchers summarising survey responses, and data analysts profiling new datasets all use mean, median, and mode as their first analytical step.
Optimised for: USA Β· Canada Β· UK Β· Australia Β· Calculations run in your browser Β· No data stored
Frequently Asked Questions
What is the difference between mean, median, and mode?
Mean = average of all values. Median = middle value. Mode = most frequent value. For [2,3,3,5,7]: mean=4, median=3, mode=3.