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Statistics Calculator

Mean Median Mode Calculator.

Mean (average)
15.75
Median15
Mode12
Range10
Count8
Min12
Max22

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What Is a Mean Median Mode Calculator?

Mean, median, and mode are the three most common measures of central tendency in statistics. This free mean median mode calculator also computes range, minimum, maximum, and count so you can summarize any dataset in one step.

How to Use This Calculator

  1. Paste or type your numbers separated by commas, spaces, or new lines.
  2. Review the mean (average) shown as the primary result.
  3. Check median, mode, range, min, max, and count in the grid below.
  4. Reset to clear values and try a new dataset.

Mean, Median & Mode Formulas

Mean = Σx / n
Median = middle value (or average of two middles)
Mode = most frequent value
  • Σx = sum of all values
  • n = count of values
  • Range = max − min

Worked Example

For the dataset 12, 15, 12, 18, 20, 15, 12, 22: Mean = 128 ÷ 8 = 16. Sorted: 12, 12, 12, 15, 15, 18, 20, 22 — median = (15 + 15) / 2 = 15. Mode = 12 (appears three times). Range = 22 − 12 = 10.

Common Use Cases

  • Homework and statistics class assignments
  • Summarizing survey responses or test scores
  • Comparing average vs. typical values in skewed datasets

Frequently Asked Questions (FAQs)

What is the difference between mean, median, and mode?

Mean is the average. Median is the middle value when sorted. Mode is the most frequent value (a set can have more than one).

How do you calculate the median with an even number of values?

Sort the numbers, then average the two middle values. For 1, 2, 3, 4 the median is (2 + 3) / 2 = 2.5.

What if every number appears the same number of times?

There is no unique mode. This tool reports that there is no distinct mode when all frequencies are tied.

What is the mean formula?

Mean = sum of all values ÷ count (Σx / n). Add every number and divide by how many there are.

When should I use median instead of mean?

Use the median when data has outliers or is skewed. Income data often uses median because a few high values pull the mean upward.

Can a data set have more than one mode?

Yes. A bimodal set has two modes; multimodal has three or more. This calculator lists every value sharing the highest frequency.

What does range mean in statistics?

Range is max − min — the spread between the largest and smallest values in your list.