What is the difference between mean, median, and mode?
The mean is the average of all numbers. The median is the middle value when the numbers are sorted. The mode is the value or values that appear most often.
Average & Statistics Calculator
Calculate averages, quartiles, percentiles, spread, deviation, frequency, distribution, and possible outliers.
Workspace
Preparing the calculator…
Dataset
Enter the numbers to summarize
Examples:
Summary
Complete the dataset
Statistics appear when the input contains at least one valid finite number.
GuideHow to use
- Paste or type numbers separated by commas, spaces, semicolons, or line breaks, or load an example dataset.
- Choose the displayed precision and whether deviation should describe a sample or the complete population.
- Review centre, spread, quartiles, a custom percentile, frequency, distribution, and IQR outliers.
- Copy the full summary or download the statistics and sorted data as CSV or JSON.
HelpFrequently asked questions
Should I use population or sample standard deviation?
Use sample standard deviation when your numbers are a sample drawn from a larger population, which is the more common case. Use population standard deviation only when your list is the entire population.
What happens if there is no repeated value?
The mode is shown as "None" since every value appears exactly once.
What are Q1, Q3, and IQR?
Q1 is the median of the lower half of the sorted data and Q3 is the median of the upper half. The interquartile range, or IQR, is Q3 minus Q1 and describes the spread of the middle half.
How are possible outliers identified?
The calculator uses the common 1.5 × IQR rule and flags values below Q1 minus 1.5 IQR or above Q3 plus 1.5 IQR. A flag does not prove a value is wrong.
What does a percentile mean?
A percentile estimates the value at or below which a selected percentage of the sorted observations falls. For example, the 90th percentile is near the upper end of the data.
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