Mean Median Mode Calculator

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

Mean Median Mode Calculator tool

Loading...

Example

Input: Test scores 85, 92, 78, 92, 88, 70, 95

Result: Mean 85.714286, median 88, mode 92, range 25

Sum 600 / 7 values = 85.714286. Sorted (70, 78, 85, 88, 92, 92, 95) the middle value is 88, 92 appears most often, and 95 - 70 = 25.

  1. Enter your data values as a list of numbers separated by commas, spaces, or new lines.
  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 distribution bars in the frequency table, where the mode is highlighted, to spot skewness and outliers at a glance.
  5. Copy individual results with the copy button on each card to use in reports or further analysis.

Mean, Median or Mode: Which Average to Use

The mean is the average, the median is the middle value, and the mode is the most common value. For the scores 70, 78, 85, 88, 92, 92 and 95, the mean is 85.71, the median is 88 and the mode is 92. Paste any list of numbers and this calculator finds all three, along with the range and a frequency table.

Each measure answers a slightly different question, so the right one depends on your data. The mean uses every value, which makes it sensitive to extremes. The median is the value in the middle once the list is sorted. With an even count, it is the average of the two middle values. The mode tells you what occurs most often. It is the only one of the three that works for categories, such as shoe sizes sold.

Comparing them tells you about the shape of your data. If the mean is well above the median, a few high values are pulling it up, which is typical of incomes and house prices. That is why official statistics often quote median income. If the mean and median are close, the data is fairly balanced. A list can have no mode, or several. If no value repeats, or every value appears equally often, the tool says there is no mode. If two values tie, as in 1, 1, 2, 2, 3, it lists both.

The frequency table shows each value, how often it appears and its share of the total. A bar for each value makes peaks easy to spot, and the mode's bar is highlighted. You can separate numbers with commas, spaces, semicolons or new lines. To measure how spread out the values are, use the Standard Deviation Calculator.

Formula / How It Works

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

Sources

Frequently Asked Questions

The mean is the sum of the values divided by how many there are. The median is the middle value after sorting. The mode is the value that appears most often. In a balanced data set all three are close. In skewed data they spread apart, and the median is usually the best guide to a typical value.
Use the median when a few very large or very small values would distort the average. If nine people earn 40,000 and one earns 1,000,000, the mean is 136,000, which describes nobody. The median, 40,000, reflects the typical person. The same applies to house prices and waiting times.
Sort the values and average the two in the middle. For 3, 5, 8 and 10, the middle pair is 5 and 8, so the median is 6.5. The median does not have to be one of your values. With an odd count, it is simply the single middle value.
Yes. With two modes it is bimodal, and with more it is multimodal. For 1, 1, 2, 2, 3 the modes are 1 and 2, and the calculator lists both. A bimodal pattern often means two groups are mixed together, such as the heights of adults and children in one list.
Multiply each value by how often it appears, add those products, and divide by the total count. For three 4s and two 7s, that is (3 x 4 + 2 x 7) / 5 = 5.2. In this calculator, simply enter each value as many times as it occurs, and it does the rest.

Related Tools

Standard Deviation Calculator

Calculate mean, variance, and standard deviation for both population and sample data sets instantly.

Statistics and Data

Normal Distribution Calculator

Calculate z-scores, percentiles, and probabilities with a bell curve that shades the area below your value.

Statistics and Data

Grade Calculator

Calculate weighted course grades with customizable grading categories, category weights, and what-if grade scenarios.

Education and Academic

Sample Size Calculator

Determine the required sample size for surveys given confidence level, margin of error, and population.

Statistics and Data

Probability Calculator

Calculate basic, conditional, and Bayesian probability with odds, an independence check, and a Bayes breakdown.

Statistics and Data

Percentage Calculator

Calculate percentages, percentage change, difference, increase, and decrease instantly.

Math and Numbers