Handles the awkward cases
Multimodal data lists every mode. Data where nothing repeats reports no mode rather than a wrong one.
Tools / Mean Median Mode Calculator
Paste a list of numbers and get all three measures of center at once, plus count, range, and standard deviation for context.
Mean = Σx ÷ n · Median = middle value · Mode = most frequent value
Paste numbers to see the result
Any separator works: spaces, commas, semicolons, tabs, or one value per line.
Mean leads, with median and mode below it. Multiple modes are listed; if every value is unique you get no mode.
A mean well above the median usually means a few large values are pulling it up.
The mean, median, and mode agree on symmetric data and disagree on skewed data. Seeing the gap is the point.
Multimodal data lists every mode. Data where nothing repeats reports no mode rather than a wrong one.
The median averages the two middle values when the count is even, which is the standard definition.
Count, range, and standard deviation come along so you are not looking at center in isolation.
Median is often the honest headline when a handful of extreme ratings skew the mean.
Median is the standard summary for income and house prices precisely because the mean is skewed.
Check all three measures of central tendency in one pass.
Mean = Σx ÷ n · Median = middle value when sorted · Mode = most frequent value
With an even count, the median is the average of the two middle values. A dataset can have several modes, or none at all if no value repeats.
Mean is the arithmetic average: add everything and divide by the count.
Median is the middle value once the list is sorted.
Mode is the value that appears most often. A list can have more than one mode, or none.
When the data is skewed or has outliers. Incomes, house prices, response times, and support ticket durations all have long tails, so the mean sits above what a typical case looks like.
A good rule: if the mean and median differ noticeably, quote the median and say why.
If every value appears exactly once there is no mode, and this calculator says so rather than inventing one. That is common with continuous measurements like weights or times.
Yes. Two values tied for most frequent makes the data bimodal, and more than two makes it multimodal. This tool lists all of them.
A bimodal survey result often means two distinct groups are answering differently, which is worth splitting out.
Sort the list and average the two middle values. With eight numbers, that is the average of the fourth and fifth.
Not here. Use the weighted average calculator when some values should count more than others, for example pooling group scores by sample size.
No. Everything is calculated in your browser.
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Formms builds the survey from a prompt, then you can paste counts back into these calculators anytime.
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