Calculate the mean, median, and mode of any data set, plus range and standard deviation, with step-by-step working shown.
Separate numbers by commas, spaces, or newlines
Sum of all numbers divided by total count: x̄ = (∑ x) / n.
Exact middle element after sorting data in ascending order.
The value or set of values occurring with highest frequency.
Distance between max and min: Range = x_max - x_min.
The statistical range formula measures total dispersion by calculating the numerical distance between the highest and lowest values in a distribution.
The mean (average) is the sum of all values divided by the count: x-bar = (sum of x) / n. The median is the exact middle value once the dataset is sorted in ascending order, or the average of the two middle values when the count is even. The mode is the value or values that occur most frequently in the dataset.
The mean is pulled strongly toward extreme values, so a single very large or very small number can distort it, while the median stays close to the typical value. A dataset can also have no mode if every value appears exactly once, or it can be bimodal or multimodal when two or more values are tied for the highest frequency.
For the dataset 12, 15, 12, 18, 20, 15, 12, 25, 30 the sum is 159 across 9 values, giving a mean of 17.67. Sorting the data to 12, 12, 12, 15, 15, 18, 20, 25, 30 places 15 as the middle (5th) value, so the median is 15, and 12 is the mode since it appears three times, the highest frequency in the set.
Use the Average Calculator when you only need a quick weighted or itemized mean without median and mode, and the Percentage Calculator when comparing values as a proportion rather than a central tendency measure.
Quick answers about how this tool works.
If two values tie for the highest frequency, the dataset is Bimodal. If three or more tie, it is Multimodal. If all numbers occur with equal frequency (e.g. 1 time each), there is No Mode.
When N is even, the median is calculated by taking the average of the two middle numbers: Median = (Middle1 + Middle2) / 2.
The Median is the preferred metric for skewed distributions or datasets containing extreme outliers (e.g. income levels or house prices) because it is not pulled by extreme values.
You can paste or type numbers separated by commas, spaces, or newlines (e.g. 12, 15, 12, 18, 20, 15, 12) or click our quick preset sample buttons.
Yes! The Mean Median Mode Calculator is 100% free with live calculations and no registration required.
Plain-language explainers that sit next to this tool.
A blood pressure reading of "120/80" means nothing until you know the categories. Here is the full AHA chart, how ranges shift with age, and when a number becomes an emergency.
Most Indians accept an EMI figure from their bank without questioning it. This guide explains exactly how Indian banks calculate EMI — the reducing balance method, how RBI repo rate changes flow through to your loan, and what you can do to pay off your home loan years early.
Rental yield tells you whether a property is a good income investment, not just a good home. Learn the gross vs net yield formulas, a worked example, and healthy benchmark ranges.
Wondering why the bank approved less than you expected? Learn exactly how lenders calculate home loan eligibility using income, FOIR, credit score, and tenure, with a worked example.
Search 190+ free tools by name, or pick a category below. Every one runs instantly in your browser — no signup, nothing to install.
Tap a star to rate us instantly.
