Mean Median Mode Range Calculator

Calculate mean, median, mode, and range for a comma separated number list.

Mean Median Mode Range Calculator

Formula

mean=sum/n; median=middle; mode=max frequency; range=max-min

Parses once, sorts a copy for median and range, counts frequencies for mode.

This mean median mode range calculator reads a comma separated list and reports mean, median, mode, and range. The primary engine result is the mean; the other three appear in the detail list.

Formulas

Mean = sum / count. Median = middle sorted value, or average of two middle values when count is even. Mode = highest frequency value(s). Range = max minus min.

Worked example

List 1,2,2,3,4,7,9. Count 7, sum 28, mean 4. Median 3. Mode 2. Range 8.

When each measure helps

Mean reacts to outliers. Median is steadier for skewed lists. Mode highlights repeats. Range only states end to end spread.

For a fuller stats panel including sample standard deviation, use the statistics calculator. For spread focused work, open the standard deviation calculator. For standardized scores, try the z-score calculator.

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Frequently Asked Questions

What does the default example show?

The list 1,2,2,3,4,7,9 has mean 4.

What is the primary engine result?

The arithmetic mean of the numbers you enter.

How do I enter values?

Type numbers separated by commas, such as 1,2,2,3,4,7,9.

What is the median of the default list?

Sorted, the middle value is 3.

What is the mode of the default list?

2 appears most often, so the mode is 2.

What is the range of the default list?

Range is max minus min: 9 - 1 = 8.

Can I include decimals?

Yes, if you separate each number with commas.

Why can mean and median differ?

Outliers pull the mean more than the median. Both describe the center in different ways.