Mean, Median, Mode & Range Calculator

Mean, Median, Mode & Range Calculator

This mean, median, mode and range calculator lets you enter a single data set and instantly get every major measure of central tendency and spread in one place — no need to calculate each statistic separately. Simply type or paste your numbers, separated by commas, spaces, or new lines, and the calculator returns the mean, median, mode, range, minimum, maximum, sum, and count (n) at once. It's built for students, teachers, statisticians, data analysts, and anyone who needs a quick, accurate way to summarize a set of numbers.

Whether you're solving a statistics homework problem, analyzing survey results, checking a grade distribution, or summarizing business data, this free online tool removes the manual work of averaging numbers, sorting values, and counting frequencies by hand.

What is Mean, Median, Mode, and Range?

In statistics, mean, median, and mode are the three most common measures of central tendency — they each describe the 'center' or 'typical value' of a data set in a different way. Range is a measure of spread that shows how far apart the highest and lowest values are.

• Mean (Average): the sum of all values divided by the number of values.
• Median: the middle value when the data set is sorted in ascending order.
• Mode: the value (or values) that appear most frequently in the data set.
• Range: the difference between the largest and smallest value in the data set.

Mean, Median, Mode & Range Formulas

Here is how each statistic is calculated. Let n be the number of values in the data set and x₁, x₂, ..., xₙ be the individual values.

• Mean formula: Mean (x̄) = (x₁ + x₂ + ... + xₙ) / n = Σx / n
• Median formula (odd n): Median = the value at position (n + 1) / 2 after sorting
• Median formula (even n): Median = average of the two middle values after sorting
• Mode: the most frequently occurring value(s) — a data set can have one mode (unimodal), two modes (bimodal), more than two modes (multimodal), or no mode if every value occurs equally often
• Range formula: Range = Maximum value − Minimum value

How to Calculate Mean, Median, Mode, and Range

You can calculate all four statistics manually by following these steps, or simply let this calculator do it instantly:

• Step 1: List all the values in your data set.
• Step 2: To find the mean, add up all the values and divide by how many values there are.
• Step 3: To find the median, sort the values from smallest to largest. If there is an odd number of values, the median is the middle one. If there is an even number of values, average the two middle values.
• Step 4: To find the mode, count how many times each value appears. The value(s) with the highest frequency are the mode.
• Step 5: To find the range, subtract the smallest value from the largest value.

Worked Example

Consider the data set: 12, 15, 15, 18, 20, 22, 25.

• Mean = (12 + 15 + 15 + 18 + 20 + 22 + 25) / 7 = 127 / 7 ≈ 18.14
• Median = 18 (the middle value once sorted: 12, 15, 15, 18, 20, 22, 25)
• Mode = 15 (it appears twice, more than any other value)
• Range = 25 − 12 = 13

When to Use Mean vs Median vs Mode

Choosing the right measure of central tendency depends on your data. The mean is best for data without extreme outliers, since it uses every value but can be skewed by very large or very small numbers. The median is more reliable when a data set has outliers or is skewed, because it isn't affected by extreme values. The mode is most useful for categorical or discrete data where you want to know the most common value, such as the most frequently sold shoe size or the most common exam score.

Common Uses of This Calculator

This mean, median, mode and range calculator is widely used for statistics and math homework, analyzing test scores and grades, summarizing survey or research data, comparing sales or revenue figures, tracking sports or fitness statistics, and quality control in engineering and manufacturing. Because it calculates every central tendency measure at once from a single data set, it saves time compared to computing mean, median, mode, and range separately.