Mean Median Mode Calculator

This Mean Median Mode Calculator finds the main statistics for a list of numbers. Paste your data, choose how many decimal places you want, and the tool calculates the mean, median, mode, count, sum, minimum, maximum, range, midrange, sorted data, and frequency table.

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What this calculator does

The calculator works with whole numbers, decimals, negative numbers, repeated values, and long lists. You can separate numbers with commas, spaces, semicolons, tabs, or line breaks.

It is useful for homework, test scores, survey results, prices, measurements, small business data, work reports, and quick data checks.

Mean

The mean is the average. Add all numbers together, then divide by how many numbers there are.

Example: for 4, 8, 8, 12, 15, and 20, the sum is 67. There are 6 values. The mean is 67 ÷ 6 = 11.17.

The mean is useful when you want one overall average, but it can be pulled up or down by very large or very small values.

Median

The median is the middle value after the numbers are sorted from smallest to largest.

If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

The median is useful when the data has extreme values. For example, one very high salary can raise the mean, but the median usually gives a better picture of the typical value.

Mode

The mode is the value that appears most often. A data set can have one mode, more than one mode, or no mode.

• One mode: 2, 4, 4, 7 has mode 4.
• Multiple modes: 1, 1, 2, 2, 3 has modes 1 and 2.
• No mode: 3, 5, 8, 10 has no repeated most-common value.

Range and midrange

The range shows how spread out the data is. It is the maximum value minus the minimum value.

The midrange is the average of the minimum and maximum values. It is not the same as the median. It only uses the two end values, so it can change a lot when there are outliers.

Sorted data

The sorted data section puts the values in order from smallest to largest. This makes it easier to check the median, find repeated numbers, and spot unusual values.

For long lists, the calculator may show only the first part of the sorted list so the page stays readable. The calculations still use the full data set.

Frequency table

The frequency table shows how many times each value appears. It is especially useful for checking the mode.

The default table shows the top frequency values. Switch it to all values if you want the full table.

When mean and median are very different

If the mean and median are far apart, the data may be skewed. That often happens when a few values are much larger or smaller than the rest.

Example: 10, 11, 12, 13, and 200 has a mean of 49.2, but a median of 12. The median better represents the typical value because 200 pulls the mean upward.

Decimal places

The decimal places setting only changes how results are displayed. The calculator still uses the actual numbers internally.

If your data has very close decimal values, use more decimal places. Otherwise, different values may look the same after rounding.

Input tips

• Use decimals like 0.5 instead of fractions like 1/2.
• Do not include currency symbols, letters, or units.
• Use negative numbers normally, such as -5, -2, 0, 4.
• You can paste a column of numbers from a spreadsheet.
• Use the Copy Results button to save the final answer.

Common uses

• Calculate the average test score for a class.
• Find the median income, rent, price, or sale amount.
• Find the most common survey response.
• Check the spread between the lowest and highest value.
• Clean up a quick list of numbers before using it in a report.

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