Statistics
Mean Median Mode Calculator
All three central tendency measures from one dataset. Calculate the mean, median, mode, and range of any numeric dataset with a sorted list and frequency table.
Dataset Input
Valid formats: 12, 15.5, 20 or newline separated lists. Non-numeric values are automatically excluded.
Summary Metrics
Sample Size (n)10
Min / Max Range[12, 30]
Summation (Σx)212
Arithmetic Mean
21.2
Median Value
21.5
Modal Value
22
Std. Deviation
5.2688
Population Variance
27.76
Total Range Spread
18
Frequency Distribution
Dataset visualization across unique values
Share & Embed
Share your exact result or embed this tool.
Solution Methodology
01
Input Dataset
Enter comma or space separated values.
02
Sort & Count
Sort the dataset and build a frequency table to identify mode(s).
03
Compute All Measures
Return mean = Σx/N, median = middle value, mode = most frequent, range = max−min.
Common Questions
What is the difference between mean, median, and mode?
Mean is the arithmetic average (sum ÷ count). Median is the middle value when data is sorted — resistant to outliers. Mode is the most frequent value and can be non-unique. For symmetric distributions they are equal; for skewed data they diverge, and the median is usually the most representative measure.
When should I use median instead of mean?
Use the median when your data contains outliers or is heavily skewed. For example, household income distributions are right-skewed, so the median income is more representative than the mean, which is pulled upward by very high earners.