Mean Median Mode Calculator
Find mean, median, mode, range, minimum, maximum, sum, and count for any dataset.
Calculate Mean, Median, Mode & Range
Count: 0
Sum: 0
Min: 0
Max: 0
Mean (Average): 0
Range: 0
Median: 0
Mode(s): None
About this Calculator
Find mean, median, mode, range, minimum, maximum, sum, and count for any dataset.
Formula & Calculations
Formula
Mean = Σx / n, Median = middle value, Mode = most frequent value(s)Where:
- x̄=Arithmetic mean (average) of all values
- n=Total count of numbers in the dataset
- Median=The middle value when data is sorted (average of two middle values for even n)
- Mode=The value(s) that appear most frequently in the dataset
- Range=The difference between the maximum and minimum values
Assumptions
- Numbers should be separated by commas or spaces.
- Non-numeric entries are silently ignored.
- Multiple values with the same highest frequency will all be reported as modes (multimodal).
Calculation Examples
Example 1
Inputs:Numbers: 4, 8, 6, 5, 3, 8, 9
Result:Mean: 6.143, Median: 6, Mode: 8
The dataset has a mean of ~6.14, median of 6, and 8 appears twice as the mode.
Example 2
Inputs:Numbers: 2, 4, 4, 6, 6, 8
Result:Mean: 5, Median: 5, Modes: 4, 6 (bimodal)
Both 4 and 6 appear twice, making this a bimodal dataset.
Frequently Asked Questions
When should I use median instead of mean?
Use the median when your data contains outliers or is skewed, as the mean can be heavily influenced by extreme values. The median provides a better measure of central tendency for skewed distributions like income data.
What does it mean if a dataset is bimodal or multimodal?
A bimodal dataset has two modes (two values appear with the same highest frequency), and a multimodal dataset has three or more. If all values appear exactly once, there is no mode.