NumberTally Mean, Median & Mode Calculator
Find the three classic averages — plus the range — in one step. Paste your numbers separated by commas, spaces, or line breaks, and get the mean, median, mode, range, count, and sorted list instantly.
Advanced options
Mean, median, mode — when to use each
The mean uses every value but is dragged by outliers (one billionaire in a room of students). The median is the middle value — immune to extremes, which is why house prices are reported as medians. The mode is the most frequent value, the only "average" that works for categories like favorite color. The comparison box below flags when your mean and median disagree — a sign of skew.
Even vs odd counts
With an odd count, the median is the single middle value of the sorted list. With an even count, there is no middle value — the median is the average of the two middle values. The steps box shows exactly which positions were used for your data.
Frequently Asked Questions
What is the difference between mean, median and mode?
Mean is the arithmetic average (sum ÷ count); median is the middle value of the sorted list; mode is the most frequent value.
When is the median better than the mean?
When outliers skew the data — incomes, house prices, wait times. The median describes the "typical" case better there.
Can a data set have more than one mode?
Yes — two modes is "bimodal", more is "multimodal". This calculator lists every value tied for most frequent.
What does it mean if there is no mode?
Every value appears exactly once, so no value is "most frequent". That is common in small continuous data sets.
How do outliers affect the mean?
Strongly — each outlier pulls the mean toward itself by (outlier − mean)/n. The median barely moves, which is why both are reported together.