Mean
The arithmetic mean is sum divided by count. It uses every value, so extreme observations can shift it.
064 · UNIT & CALCULATOR
Statistics Calculator
Calculate mean, median, mode, sum, count, minimum, maximum, and range from a list of numbers.
LOCALCALCULATE IN YOUR BROWSER
LOCALYour numbers are calculated only in this browser and are not sent to or stored on a server.
3 / 10,000
Separate with commas, spaces, or new lines · integers/decimals/negatives allowed · scientific notation excluded
RESULT · Basic statistics
3 valuesMean20
Median20
ModeNo mode
Count3
Sum60
Minimum10
Maximum30
Range20
Mean can be sensitive to outliers. Comparing it with the median can give a clearer view of the center of the data.
Sorted data · 3
102030
HOW TO USE
How to use
- 01
Enter numbers separated by new lines, commas, or spaces.
- 02
Review mean, median, and mode first.
- 03
Compare count, sum, minimum, maximum, and range.
- 04
If an entry is invalid, check the invalid-token list below the input.
- 05
Expand sorted data or copy the summary when needed.
STATISTICS GUIDE
Mean, median, and mode summarize the same data differently
Comparing all three makes the effects of outliers and repeated values easier to spot.Median
Sort the values and take the middle. With an even count, use the average of the two middle values.
Mode
The most frequent value. A set can have no repeated mode or several tied modes.
Range
Maximum minus minimum. It describes only the endpoint difference, not the full shape of the distribution.
Mean vs median
An outlier can move the mean sharply while the median may move less, which is why comparing both is useful.
Descriptive scope
The first TOOL064 release stays with central values and basic range statistics; variance, standard deviation, regression, and tests remain future advanced scope.
IMPORTANT NOTES
Important notes
- Mean uses every value and can be sensitive to large outliers.
- Median uses the middle of sorted data; for an even count it is the average of the two middle values.
- When ordinary multi-value data has no repeated value, the tool reports no mode. If several values share the highest repeated frequency, all are shown.
- For a single datum, that value is the mean, median, and mode, and the range is 0.
- Range only shows the difference between maximum and minimum and does not describe the full distribution.
- This tool focuses on descriptive statistics and excludes variance, standard deviation, regression, hypothesis tests, p-values, and ANOVA.
FAQ
Frequently asked questions
01Why can mean and median differ?+
Mean uses every value and can be shifted by a large outlier, while median uses the middle of sorted data.
02What is the median of 1, 2, 3, 4?+
It is 2.5, the average of the two middle values 2 and 3.
03Can a data set have no mode?+
Yes. Ordinary multi-value data with no repeated value is reported as having no mode. Tied repeated values are all shown as multiple modes.
04What is range?+
Maximum minus minimum.
05Do you provide standard deviation?+
Not in the first basic release. This version stays focused on mean, median, mode, and basic range statistics.