Mean Median Mode Calculator

Calculate mean, median, mode, and range from the same data set, then compare what each summary actually tells you.

One data set, four different summaries

Mean is a balance point, median is the sorted middle, mode is the most frequent value, and range is the distance between endpoints. They answer different questions about the same values.

Read the results in order

  1. Enter the values.
  2. Sort mentally or visually.
  3. Check the count.
  4. Compare mean with median.
  5. Inspect mode and range.

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Outliers do not move every summary the same way

For 4, 5, 6, 7, 100, the high outlier pulls the mean upward while the median stays near the typical cluster.

Summary formulas

Sorting and frequency matter as much as arithmetic for these summaries.

Meanmean=sum of valuescount
Median, odd countmedian=middle value after sorting
Median, even countmedian=lower middle+upper middle2
Modemode=value or values with the highest frequency
Rangerange=maximum-minimum

Mode and sorting edge cases

  • There may be no mode.
  • There may be one mode.
  • There may be multiple modes.
  • Even-count medians average the two middle values.
  • Duplicate frequencies can create ties.

FAQ

Why is my mean higher than most of my numbers?

A high outlier can pull the mean upward because the mean uses every value directly. Compare it with the median to see whether the sorted center tells a different story.

What does it mean if there is no mode?

There is no mode when every value appears the same number of times, usually once. If two or more values tie for highest frequency, the data set has multiple modes.