Mean Median Mode Calculator

Find the mean, median, mode, and range of any data set with a frequency table and distribution display.

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1. Enter your data values as a comma-separated or space-separated list of numbers. 2. View the calculated mean, median, and mode displayed together for quick comparison. 3. Check the range and frequency table to see how often each value appears in your data set. 4. Review the visual frequency distribution chart to identify skewness and outliers at a glance. 5. Copy individual results or the full summary to use in reports or further analysis.

About This Tool

Measures of central tendency - mean, median, and mode - are the foundation of descriptive statistics. Each tells a different story about where the center of your data lies, and choosing the right one depends on the shape and nature of your data. This calculator computes all three from any list of numbers you enter, along with the range and a frequency table that shows how often each value appears.

The mean (arithmetic average) is the most commonly used measure but is sensitive to outliers. The median (middle value when sorted) is more robust and better represents the typical value in skewed distributions. The mode (most frequently occurring value) is the only measure that works for categorical data and can reveal peaks in a distribution. By presenting all three together, this tool helps you quickly understand your data from multiple angles.

This calculator also generates a visual frequency distribution showing how your data values are spread. Whether you are analyzing test scores, survey responses, sales figures, or scientific measurements, seeing the mean, median, and mode in context helps you identify skewness, outliers, and the overall shape of your data at a glance.

Formula / How It Works

Mean = sum(xi) / N | Median = middle value when sorted | Mode = most frequent value | Range = max - min

Frequently Asked Questions

The mean is the sum of all values divided by the count. The median is the middle value when all numbers are sorted in order. The mode is the value that appears most frequently. For symmetric distributions, all three are roughly equal. For skewed data, they can differ significantly, with the median often being the most representative measure.
Use the median when your data is skewed or contains outliers. For example, median household income is more representative than mean income because a few extremely high earners pull the mean upward. The median is also better for ordinal data or when the distribution has a long tail on one side.
Yes. A data set with two modes is called bimodal, and one with more than two modes is called multimodal. If no value repeats, the data set has no mode. Bimodal distributions often suggest that the data comes from two distinct groups or processes mixed together.
The range is the difference between the largest and smallest values in the data set. It gives a quick sense of the total spread but is very sensitive to outliers. For a more robust measure of spread, consider the interquartile range (IQR) or standard deviation.
For grouped data (frequency tables), multiply each value by its frequency, sum these products, then divide by the total frequency. The formula is: mean = sum(fi x xi) / sum(fi), where fi is the frequency and xi is the value or class midpoint. This calculator handles both raw and grouped data input.

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