How to Calculate Mean, Median, Mode

Mean, median, and mode are three ways to describe the center of a data set. Each provides different insight depending on data distribution.

The Formula

Mean = sum(x_i) / n

Where:

x_iData Point — Each value in the data set
nCount — Total number of values
MeanMean — The arithmetic average

Step-by-Step Example

Here's how to calculate mean, median, mode step by step:

  1. 1Find the mean: Add all values together and divide by the count.
  2. 2Find the median: Sort values and pick the middle one (or average of two middle).
  3. 3Find the mode: Identify the value that appears most frequently.

Following these 3 steps gives you the final mean, median, mode value.

Skip the Math

Home prices in a neighborhood might have a mean of $500K but a median of $350K if a few mansions skew the average upward.

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Why You Need This Calculation

  • These three measures of central tendency summarize data sets and are foundational to all statistical analysis.

Common Mistakes

Forgetting to sort data before finding the median.

Always arrange values in ascending order first.

Assuming every data set has exactly one mode.

A set can be bimodal, multimodal, or have no mode.

Using the mean with heavily skewed data.

Median is more robust for skewed distributions.

Frequently Asked Questions