Mean, Median, Mode Calculator

Calculate the mean, median, mode, range, and other statistics for any data set.

Calculate Mean, Median, and Mode

Enter a list of numbers to calculate key statistical measures. Our calculator finds the mean, median, mode, range, standard deviation, and more.

Understanding the Statistics

  • Mean: The average of all values
  • Median: The middle value when data is sorted
  • Mode: The most frequently occurring value(s)
  • Range: The difference between largest and smallest values
  • Standard Deviation: How spread out the values are

Formulas

Mean: Sum of all values ÷ Count of values

Median: For odd count, the middle value. For even count, average of the two middle values.

Mode: The value(s) that appear most frequently.

When to Use Each Measure

Choose the right measure of central tendency based on your data:

  • Use mean for normally distributed data without outliers
  • Use median for skewed data or data with outliers
  • Use mode for categorical data or to find the most common value

Frequently Asked Questions

What is the difference between mean, median, and mode?

Mean is the average (sum divided by count). Median is the middle value when sorted. Mode is the most frequently occurring value. Each describes the "center" of data differently.

When should I use median instead of mean?

Use median when your data has outliers or is skewed. For example, median income is more representative than mean income because a few very high incomes can skew the average.

Can a data set have multiple modes?

Yes! A data set can have no mode (all values appear once), one mode (unimodal), two modes (bimodal), or multiple modes (multimodal).

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