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Math › Mean, Median, Mode, Range Calculator
· 🌐 EN / DE Mean, Median, Mode, Range Calculator
Paste or type any list of numbers to get the mean, median, mode(s) and range at once.
Example
For the data set 2, 2, 3, 4, 7, 9:
Count = 6
Sum = 27
Mean = 27 / 6 = 4.5
Median = (3 + 4) / 2 = 3.5 (average of two middle values)
Mode = 2 (appears twice; all others once)
Range = 9 - 2 = 7
How it works
Numbers are split on commas, spaces or newlines and filtered to finite values, then the mean (sum/count), median (middle value or average of two middle values), mode(s) (most frequent value, only if frequency exceeds one) and range (max minus min) are computed. Results update live as you type.
Good to know
This calculator takes any list of numbers and returns the four core measures of a data set in one pass: the mean (arithmetic average), the median (middle value), the mode (most frequent value), and the range (highest minus lowest). It also reports the count, sum, and the minimum and maximum, so you can sanity-check your inputs at a glance. It's aimed at students working through statistics homework, teachers checking answers, and anyone summarizing a small batch of figures like test scores, prices, or measurements.
Reach for it whenever you need a quick numerical summary and want more than just an average. The mean tells you the overall center but is pulled toward extreme values; the median gives you the "typical" middle point that ignores outliers; the mode highlights the most common value; and the range shows how spread out the numbers are. Comparing the mean against the median is a fast way to spot skew, if they differ a lot, your data likely has outliers or a lopsided distribution.
A few details worth knowing about how this tool behaves:
- Mode is only reported when a value repeats; if every number appears once, it shows "No mode" rather than listing everything.
- When two or more values tie for the top frequency, all of them are listed (a multimodal set).
- With an even count, the median is the average of the two middle numbers, so it can be a value that isn't actually in your list.
One practical caveat: this is a population-style summary, not a full statistics package, it doesn't compute variance, standard deviation, or quartiles. Inputs are split on commas, spaces, and line breaks, and anything that isn't a finite number is silently dropped, so double-check your count if a stray letter or symbol sneaks in. Everything runs locally in your browser, which makes it safe to paste sensitive figures.
Frequently asked questions
What happens when there is more than one mode?
If two or more values tie for the highest frequency, the calculator lists all of them (a multimodal data set), e.g. for 1, 2, 2, 3, 3, 4 the modes are 2 and 3.
What if no number repeats?
When every value appears exactly once there is no mode, so the calculator shows 'No mode' rather than listing the whole list.
Is my data uploaded anywhere?
No — this calculator runs entirely in your browser; nothing is uploaded.
Is it free?
Yes, completely free with no sign-up and no limits.
People also ask
What is the difference between mean, median, and mode?
The mean is the sum of all values divided by how many there are, the median is the middle value when the numbers are sorted, and the mode is the value that appears most often. They can all differ for the same data set, especially when outliers or repeated values are present.
When should I use the median instead of the mean?
The median is more representative when your data contains outliers or is skewed, since it isn't dragged toward extreme values the way the mean is. For example, with incomes or house prices, the median often reflects the typical case better than the average.
Can a data set have no mode?
Yes. If every value appears exactly once, there is no most-frequent value, so the data set has no mode. This calculator displays 'No mode' in that case.
How do you calculate the median of an even number of values?
Sort the numbers, then take the two values in the middle and average them. For example, in 2, 3, 4, 7 the two middle values are 3 and 4, so the median is 3.5.
What does the range tell you about a data set?
The range is the difference between the largest and smallest values, giving a quick measure of how spread out the data is. A large range means more variability, but it only reflects the two extremes and ignores how the rest of the values are distributed.
Can a data set have more than one mode?
Yes. If two or more values tie for the highest frequency, the set is multimodal and all of those values are modes. For example, in 1, 2, 2, 3, 3, 4 both 2 and 3 are modes.
Does the mean have to be one of the numbers in the list?
No. The mean is a calculated average and often falls between the actual values rather than matching any of them. For instance, the mean of 2 and 5 is 3.5, which isn't in the original list.
Is the average the same thing as the mean?
In everyday use, 'average' usually means the arithmetic mean, the sum divided by the count. Technically, mean, median, and mode are all types of averages, so the word can be ambiguous in a statistics context.
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