Mean, Median, Mode and Range Calculator
Instantly calculate mean, median, mode, and range from any list of numbers with step-by-step explanations.
Inputs
Results
Step-by-Step Example
Data: 5, 3, 8, 3, 10, 2 → Sorted: 2, 3, 3, 5, 8, 10
Mean: (2+3+3+5+8+10)/6 = 31/6 ≈ 5.167
Median: (3+5)/2 = 4.0 (middle two)
Mode: 3 (appears twice)
Range: 10 − 2 = 8
What is the Mean, Median, Mode Calculator?
This calculator instantly analyzes any dataset to find the Measures of Central Tendency. It is a fundamental tool for data analysis, business forecasting, and resolving math homework regarding averages.
How It Works (Formula)
The Mean is the arithmetic average (sum / count). The Median is the exact middle number when the data is sorted. The Mode is the most frequently occurring number. The Range is the highest value minus the lowest value.
$$ \text{Mean } (\bar{x}) = \frac{\sum_{i=1}^{n} x_i}{n} $$
The algebraic notation for finding the arithmetic average.
How to Use It
Type or paste your list of numbers into the input field, separating them with commas or spaces. Click calculate, and the tool will automatically sort the data and output the Mean, Median, Mode, Range, Sum, and Count.