Skip to main content
CalcIntel

Updated · Methodology: named formula library

Mean, Median, Mode Calculator

Calculate the mean (average), median (middle), and mode (most common) of a data set.

Enter numbers separated by commas or spaces.
Mean
6

Mean: 6. Median: 6. Min: 1. Max: 10. Std dev: 3.

Count10
Sum55
Mean6
Median6
Min1
Max10
Std deviation3
Data sources: CalcIntel Formula Library

Why This Calculation Matters

The Mean, Median, Mode Calculator gives you a fast, accurate answer for mean, median, mode, useful for homework, coursework, or inside a larger problem. The formula is shown below so you can see exactly what the tool is doing and verify it against a textbook or other reference.

How to Use This Calculator

  • Enter your values in the input fields, each one has a label and help text explaining what to type.
  • Results appear instantly as you type; there's no "calculate" button to press.
  • Change any input to compare scenarios side by side.

All math happens in your browser. Nothing you type is sent to a server, saved, or shared.

Measures of Central Tendency

  • Mean: Sum of all values ÷ count (average)
  • Median: Middle value when sorted (less affected by outliers)
  • Mode: Most frequently occurring value

When to Use Each

  • Mean: Symmetric data, no outliers
  • Median: Skewed data, income data, home prices
  • Mode: Categorical data, finding the most popular choice

Worked Example

Sample dataset: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

values
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Result
Mean: 5.5, Median: 5.5, SD: 2.87

Mean = (1+2+...+10)/10 = 5.5. Median = (5+6)/2 = 5.5. Population SD ≈ 2.87.

When to Use This Calculator

  • Check homework, textbook problems, or coursework answers.
  • Explore how the result changes as you vary inputs, great for intuition building.
  • Verify a calculation inside a larger engineering, research, or data workflow.

Limitations & Common Mistakes

  • Results are only as accurate as the inputs, double-check rounding and units.
  • Numeric precision is limited by JavaScript floating-point arithmetic.

Frequently Asked Questions

What does the Mean, Median, Mode Calculator compute?

It computes the mean (average), median, min, max, count, sum, and standard deviation of any list of numbers you enter. Numbers can be separated by commas, spaces, or newlines.

What's the difference between mean and median?

Mean is the arithmetic average (sum / count). Median is the middle value when sorted. Median is more robust to outliers — for income data, real-estate prices, or any skewed distribution, the median is usually the more honest "typical value."

Should I use sample or population standard deviation?

This calculator uses population standard deviation (divides by N). For statistical inference where your data is a sample of a larger population, you'd want sample SD (divides by N−1, Bessel's correction). The difference is small for N > 30.

Can I use this for grades/scores?

Yes — for class grades, test scores, or any list of numerical observations. For weighted averages (e.g., GPA where credit hours matter), use the GPA Calculator instead.

Related Calculators

More Math →

Standard Deviation Calculator

Calculate mean, variance, and standard deviation for a set of numbers.

Area of a Circle Calculator

Calculate the area, circumference, and diameter of a circle from its radius.

Area of a Triangle Calculator

Calculate the area of a triangle using base and height, or three sides (Heron's formula).

Average Calculator

Calculate the average (mean) of a set of numbers. Also shows sum and count.

Circle Circumference Calculator

Calculate the circumference of a circle from radius or diameter.

Cone Volume Calculator

Calculate the volume and surface area of a cone from radius and height.

Key terms

Source: BLS Consumer Price Index, 2026.