Mean, median, and mode are three ways to describe the center of a dataset, and they often disagree.
About this calculator
Mean, median, and mode are three ways to describe the center of a dataset, and they often disagree. Income is the classic example: the mean household income in India is pulled up by billionaires, but the median (the person exactly in the middle if you line everyone up) is much lower and more representative of a typical household.
Mean works best for symmetric distributions without outliers. Median is robust to extreme values, making it the go-to for skewed data (incomes, house prices, exam scores with a few zeroes). Mode is useful when you want the most common outcome, like the most frequent shoe size sold or the most common rating given.
This calculator also gives you range (max minus min) and standard deviation (how spread out the data is). Together, these five numbers paint a quick statistical portrait of any dataset. Paste in a column of numbers from a spreadsheet or type them comma-separated.
For more detailed statistical analysis, the [[standard-deviation]] calculator provides variance and coefficient of variation. For comparing two datasets, use alongside the [[average]] calculator.
Common uses
- Student solving a homework problem that asks for mean, median, and mode of a dataset
- Teacher checking the class average and median score on an exam
- Data analyst quickly summarizing a column of sales figures from a spreadsheet
- Researcher identifying the most common response value in a survey
- Real estate agent finding the median property price in a neighborhood
- Quality control engineer checking whether production measurements cluster around the target
Frequently asked questions
What is the difference between mean and median?
Mean adds all values and divides by count, so every number affects it equally, including outliers. Median sorts the data and picks the middle value, ignoring extremes. For the dataset [1, 2, 3, 4, 100], mean is 22 but median is 3. Median better represents
Can a dataset have no mode?
Yes. If every value appears exactly once, there is no mode. For example, [1, 2, 3, 4, 5] has no mode because nothing repeats. A dataset can also be multimodal (two or more values tied for highest frequency), like [1, 1, 2, 2, 3] which has modes 1 and 2.
When should I use mean vs median?
Use mean for symmetric data without extreme outliers (test scores in a normal class, temperatures). Use median for skewed data or when outliers exist (incomes, house prices, response times). In doubt, report both and note the difference.
How do I find the median of an even number of values?
Sort the data, then take the average of the two middle values. For [2, 4, 6, 8], the two middle values are 4 and 6, so median = (4+6)/2 = 5. For an odd count like [2, 4, 6], median is simply the middle value: 4.
What does the range tell me?
Range = maximum minus minimum. It tells you the total spread of the data. A small range means values are clustered together; a large range means they are spread out. Range is sensitive to outliers, so standard deviation is often a better measure of spread.
What is standard deviation in simple terms?
Standard deviation measures how far, on average, each data point sits from the mean. A small SD means data clusters tightly around the mean. A large SD means values are spread widely. For a normal distribution, about 68% of values fall within 1 SD of the mean.
Can I paste numbers from a spreadsheet?
Yes. The calculator accepts numbers separated by commas, spaces, or newlines. Copy a column from Excel or Google Sheets and paste directly. It will ignore any non-numeric text.
What is geometric mean and when is it used?
Geometric mean multiplies all values and takes the nth root. It is used for rates of change (investment returns, population growth, inflation over multiple years). If your portfolio returned 10%, -5%, and 15% over three years, geometric mean gives the true average annual return.