Mean Median Mode Calculator
Frequently Asked Questions
What is the difference between mean and median?
The mean is the arithmetic average — the sum of all values divided by their count. The median is the middle value when data is sorted. The mean is sensitive to outliers; one extreme value can pull it significantly. The median is resistant to outliers and better represents typical values in skewed distributions like income data.
Can a dataset have more than one mode?
Yes. A dataset is bimodal if two values each appear most frequently, and multimodal if three or more values tie. If every value appears exactly once, the dataset has no mode at all. Mode is most meaningful when your data is discrete and has natural repetition, such as survey ratings, shoe sizes, or product categories.
How do I calculate the median for an even number of values?
Sort your values in ascending order. With an even count, no single middle value exists, so take the two center values, add them together, and divide by two. For example, with eight values, average the 4th and 5th values. The result may be a decimal even if all original values are whole numbers.
When should I use mode instead of mean or median?
Use mode when your data is categorical rather than numerical — for example, the most popular product color, the most common survey response, or the most frequently sold shoe size. Mode is also useful when you need to identify the single most typical value without performing any arithmetic on the underlying data values themselves.
What does range tell me that mean, median, and mode don't?
Range measures the spread of your data — the difference between the highest and lowest values. Mean, median, and mode all describe where data clusters but say nothing about variability. A small range means consistent values; a large range signals high variability. Always report range alongside central tendency for a complete statistical picture.
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