What is Mean, Median, Mode Calculator?
Mean, median, and mode are the three fundamental measures of central tendency in statistics used to describe the center point of a distribution.
How to Use This Calculator
- Enter raw data points separated by commas or spaces.
- The tool automatically sorts the values in ascending order.
- Review mean, median, mode, range, and total count.
The Mathematical Formula & Variables
Mean = Sum of values / Count of values; Median = Middle value of sorted set; Mode = Most frequently occurring value
Variables Definition
| Symbol / Variable | Name | Description |
|---|---|---|
n |
Sample Size | Total count of data observations. |
Step-by-Step Worked Example
Scenario: Numbers: 12, 15, 18, 20, 21, 25.
- Sum = 12 + 15 + 18 + 20 + 21 + 25 = 111.
- Mean = 111 / 6 = 18.5.
- Middle values are 18 and 20. Median = (18 + 20) / 2 = 19.
Result: Mean = 18.5 | Median = 19
Frequently Asked Questions
When is the median preferred over the mean?
The median is preferred when a dataset contains extreme outliers or is heavily skewed (such as household income or real estate prices), because outliers distort the arithmetic mean.