Compute the four basic measures of central tendency and spread - mean, median, mode and range - for any list of numbers. The fastest way to get a quick sense of your data.
Mean (average)
28.9
Σx / n
Median
28.5
Middle value
Mode
30
Most frequent
Range
38
Max − Min
Min
12
Max
50
Sum
289
Count
10
一部のコンテンツはまだ英語で表示されます。
Mean, median and mode are the three measures of central tendency taught in every statistics course - and each captures something different about a dataset. The mean is the arithmetic average, used when you want a balance point that accounts for every value. The median is the middle value when sorted, used when you want a representative value that's robust against outliers. The mode is the most-frequent value, used when you want to know what's most common. Together with the range (a simple measure of spread), these four numbers give you a quick statistical summary of any dataset.
Choosing the right measure matters. Salary surveys typically report the median because a few very high earners would distort the mean. Real estate listings often quote median home price for the same reason. Test scores usually use mean because grade distributions are roughly symmetric. Inventory analysis uses mode (the most-frequent item size). Understanding which measure to trust - and when each can mislead - is one of the foundational skills of data literacy.
Paste numbers separated by commas, spaces or new lines.
Read mean (average), median (middle), mode (most frequent), and range (max − min).
Mean adds all values and divides by count. Median sorts and picks the middle (or average of two middle values). Mode counts occurrences; ties produce multimodal results. Range is simply max minus min.
Mean = Σx / n Median = middle value (sorted) Mode = most frequent value(s) Range = max − min
Mean (arithmetic average): sum all values and divide by count. Sensitive to outliers - extreme values pull the mean toward them. Use when the distribution is roughly symmetric and you want an 'expected value' interpretation. Use case: average exam score, average daily temperature, average product weight in quality control.
Median: sort the values; the median is the middle value if count is odd, or the average of the two middle values if count is even. Robust against outliers - one extreme value doesn't shift it much. Use for skewed distributions and when outliers are present. Use case: salary surveys, real estate prices, response times.
Mode: the most-frequent value. Can be unimodal (one mode), bimodal (two modes), multimodal, or have no mode (every value occurs equally often). Most useful for categorical data ('most popular shoe size sold') or for discovering peaks in continuous distributions. Range: simply max − min. Quick to compute but fragile - entirely determined by extremes. For robust dispersion, prefer SD or IQR.
Mean: ₹14.8L (misleadingly high). Median: ₹6L (representative of typical employees). Mode: ₹6L (most-frequent salary). Range: ₹45L. The mean is distorted by the founder's salary; the median and mode tell the real employee story.
Mean: 69.3, Median: 70, Mode: no repeated values, Range: 35. Mean and median agree closely → the distribution is roughly symmetric and reporting either is fine.
Skewed distributions and outliers. One billionaire entering a small-town income survey makes the mean misleading; the median is more representative.
Median is preferred for salary because the few very high earners pull the mean upward, painting an overly rosy picture.
The dataset is multimodal. Two modes (bimodal), three (trimodal). All values shown when tied.
Quick but fragile - one outlier dominates it. Standard deviation or interquartile range are more robust.
Every value occurs the same number of times - there's no most-frequent value. The dataset is sometimes said to have no mode.
Not directly - this tool treats every value equally. For weighted mean, multiply each value by its weight, sum, and divide by sum of weights.
From simple percentages to scientific notation, statistics, geometry and big-number arithmetic - every common math problem you'd reach for a calculator for, runs in your browser with no installs. The fraction calculator preserves exact rationals, the big-number calculator uses BigInt for hundreds of digits without precision loss, and the scientific calculator's expression evaluator is a hand-written shunting-yard parser (no eval) that supports trig, log, factorial and parentheses.
If you're a student, double-check your work without paying for a graphing calculator. If you're a professional, use these tools as a sanity check on spreadsheet formulas. Every result is shown alongside its formula and inputs, so the math is always auditable.
The Mean, Median, Mode Calculator is part of the Math suite on Online Calculator Tools, alongside 6 related calculators. All tools share the same UI patterns, the same privacy-first rendering (nothing is sent to a server), and the same commitment to showing the formula and assumptions behind every result.
