Mean, Median, Mode Calculator

What Is a Mean, Median, Mode Calculator?

A mean, median, mode calculator computes the three most common measures of central tendency from any dataset. These statistics summarize where the “center” of your data lies and are fundamental tools in statistics, data science, education, and everyday decision-making. The tool also displays the range and data count for a complete overview.

How to Use This Calculator

1. Enter your data values separated by commas, spaces, or newlines in the input field.
2. Click Calculate to compute the mean, median, and mode simultaneously.
3. Review the results along with additional statistics such as the range, min/max, variance, standard deviation, and sorted data.

Key Concepts

The mean (average) is the sum of all values divided by the count: μ = Σx_i ⁄ n. The median is the middle value when data is sorted; for even-sized datasets, it is the average of the two middle values. The mode is the most frequently occurring value (a dataset may have no mode, one mode, or multiple modes). Each measure has strengths: the mean uses all data points but is sensitive to outliers, the median resists outliers, and the mode identifies the most common value.

Mean = Σx ÷ n

Frequently Asked Questions

When should I use the median instead of the mean?

Use the median when your data has outliers or is skewed. For example, median household income is preferred over mean income because a few extremely high earners can dramatically inflate the mean.

Can a dataset have more than one mode?

Yes. A dataset with two modes is bimodal, and one with more is multimodal. If all values appear equally often, the dataset has no mode. Multiple modes can indicate distinct subgroups within the data.

What is the relationship between mean, median, and mode in a normal distribution?

In a perfectly normal (bell-shaped) distribution, the mean, median, and mode are all equal and located at the center. In skewed distributions, they diverge: in a right-skewed distribution, the mean is typically greater than the median, which is greater than the mode.