Find the mean, median, and mode of your data set all at once, with a full step-by-step solution for each.
Mean, median, and mode are the three most common "measures of central tendency" — each describes a data set's center in a different way. This calculator finds all three at once, along with the full working for each, so you can see how they compare and why they sometimes differ.
Mean = Σx ÷ nMedian = middle value of sorted data (or average of the two middle values)Mode = most frequently occurring value(s)For a perfectly symmetric distribution, the mean, median, and mode are the same value. But for skewed data, or data with outliers, they can diverge significantly. The mean is pulled toward extreme values, the median is resistant to outliers, and the mode simply reflects the most common value regardless of where it falls.
Yes. If two or more values tie for the highest frequency, the data set is "bimodal" (two modes) or "multimodal" (more than two). If every value appears exactly once, there is no mode.
For roughly symmetric numeric data with no major outliers, the mean is usually best. For skewed data or data with outliers, the median is more representative. For categorical or non-numeric data, the mode is the only one of the three that applies.
Sort the data, then average the two middle values. For example, in {2, 4, 6, 8}, the two middle values are 4 and 6, so the median is (4 + 6) ÷ 2 = 5.
This typically happens with skewed data. The mean is pulled toward the tail of extreme values, the median stays closer to the "typical" middle value, and the mode simply reflects whichever value repeats most — so on skewed data, the three can diverge noticeably.