Mean, Median & Mode Calculator
Calculate mean, median, mode, range, variance, standard deviation and more from any data set. Supports comma, space, or newline separated numbers.
Enter Numbers
Separate with commas, spaces, or new lines
Detailed Statistics
Advanced| Min | ||
| Max | ||
| Range | ||
| Variance (sample) | ||
| Std Deviation (sample) | ||
| Variance (population) | ||
| Std Deviation (population) | ||
| Quartiles (Q1 / Q2 / Q3) | ||
| IQR | ||
| Geometric Mean |
Histogram
ChartSorted Data (Ascending)
What is the Mean Median Mode Calculator?
The Mean Median Mode Calculator is a comprehensive statistics tool that computes all key measures of central tendency and dispersion from any set of numbers. Enter your dataset as comma-separated, space-separated, or newline-separated values and instantly get mean, median, mode, range, variance, standard deviation, quartiles, IQR, and geometric mean — plus a histogram chart for visual distribution analysis.
How to Use
- 1.Enter your numbers in the text area, separated by commas, spaces, or new lines.
- 2.Click "Calculate" to process all statistics instantly.
- 3.View the primary stats grid showing mean, median, mode, range, count, and sum.
- 4.Scroll down for detailed statistics including variance, standard deviation, quartiles, and IQR.
- 5.View the histogram for a visual distribution of your data.
How It Works
Mean (Average)
Add up all the numbers and divide by the count. Mean = Sum ÷ Count
Median
Sort the numbers and find the middle value. If even count, average the two middle values.
Mode
The number that appears most frequently. A data set can have no mode, one mode, or multiple modes.
For example, for the dataset [10, 20, 30, 20, 40]: Mean = 24, Median = 20, Mode = 20, Range = 30, Variance = 96, Standard Deviation ≈ 9.80.
Frequently Asked Questions
What is the difference between mean and median?
Mean is the arithmetic average calculated by summing all values and dividing by count. Median is the middle value when data is sorted. Mean is sensitive to outliers while median is not, making median better for skewed distributions like income data.
When should you use mode instead of mean or median?
Mode is best for categorical data or to identify the most common value — for example, the most popular product size or the most frequent test score. Unlike mean and median, mode can be used with non-numeric data and a dataset can have multiple modes.
What is standard deviation used for in statistics?
Standard deviation measures how spread out the data is from the mean. A low value means data points cluster near the mean; a high value indicates greater spread. It is used in finance to measure investment risk, in science for measurement uncertainty, and in quality control.
How is variance calculated?
Population variance = Σ(x − mean)² / n. Sample variance uses (n−1) in the denominator to correct for bias (Bessel's correction). Standard deviation is the square root of variance and is in the same units as the original data, making it more interpretable.