Mean, Median, and Mode Calculator
Calculate the mean, median, and mode of a list of numbers.
How to use this tool
- Enter numbers (comma-separated) in the fields above.
- Results update instantly as you type โ or click Calculate.
- Read your mean and the full breakdown beneath it.
Enter a comma-separated list of numbers to calculate the mean (average), median (middle value), and mode (most frequent value).
Formula
Mean: xฬ
= (ฮฃ xi) / n
Median: middle value when sorted (or average of two middle values for even n).
Mode: value(s) appearing most frequently; reported as No mode if all frequencies are equal.
How it works
The calculator splits the input on commas, converts each token to a number, and drops any non-numeric entries. The mean is the arithmetic average. For the median the values are sorted and the central element (or average of the two central elements for an even count) is taken. The mode is found by tallying frequencies; if the maximum frequency is 1 the dataset has no repeated values and no mode is reported.
Worked example
Worked example
- Data: 1, 2, 2, 3, 4. Count n = 5.
- Mean: (1+2+2+3+4)/5 = 12/5 = 2.4.
- Sorted: 1, 2, 2, 3, 4. Median: middle value at index 2 = 2.0.
- Frequencies: 1โ1, 2โ2, 3โ1, 4โ1. Max frequency = 2, so mode = 2.
Mean = 2.4; median = 2.0; mode = 2.
Key terms
- Mean
- The arithmetic average of a dataset, sensitive to extreme values (outliers).
- Median
- The middle value of a sorted dataset; for an even number of values it is the average of the two central values. Robust to outliers.
- Mode
- The value (or values) that appear most often in a dataset. A dataset can have no mode, one mode, or multiple modes.
- Measures of central tendency
- Statistics that describe the centre of a distribution. Mean, median, and mode are the three most common.
- Skewness
- A measure of asymmetry in a distribution; when mean โ median the data is typically skewed, and the median is often a better indicator of the typical value.
Frequently asked questions
- What are mean, median, and mode?
- Mean is the arithmetic average (sum รท count). Median is the middle value when sorted. Mode is the value that appears most often. Together they describe the central tendency of a dataset.