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Mean, Median, Mode Calculator

Calculate the mean (average), median (middle value), and mode (most frequent value) of any data set. Includes step-by-step solutions, frequency distribution, quartiles, variance, and standard deviation.

Last updated: January 7, 2026

Enter your data

Enter numbers separated by commas, spaces, semicolons, or new lines. Supports both US (1,234.56) and European (1.234,56) number formats.

Please enter at least one number

Mean type

Decimal precision

Mean (Arithmetic Mean)

Median

Mode

This calculator provides statistical calculations for educational and informational purposes.

Results are rounded for display but calculations use full precision.

780 people find this calculator helpful

What is a Mean, Median, Mode Calculator?

A mean, median, mode calculator is a statistical tool that helps you find the three main measures of central tendency in a data set. The mean (average) is the sum divided by the count, the median is the middle value when sorted, and the mode is the most frequently occurring value. These measures help summarize and understand data distributions, making them essential for statistics, data analysis, research, and everyday problem-solving.

Understanding Central Tendency Measures

Understanding when to use each measure is key to proper data analysis:

Mean (Average)

The arithmetic mean is calculated by adding all values and dividing by the count. It's sensitive to outliers but provides a good overall measure when data is normally distributed.

Median (Middle Value)

The median is the middle value when data is sorted. It's resistant to outliers and better represents typical values in skewed distributions.

Mode (Most Frequent)

The mode is the value that appears most often. Data can be unimodal (one mode), bimodal (two modes), multimodal, or have no mode if all values appear equally.

When to Use Each Measure

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

1Use mean for normally distributed data without significant outliers
2Use median when your data has outliers or is skewed (like income data)
3Use mode for categorical data or to find the most common value
4Use geometric mean for growth rates and multiplicative processes
5Use harmonic mean for rates and ratios (like speeds)

Why Use Our Calculator?

1All three measures at once - get mean, median, and mode in a single calculation
2Multiple mean types - arithmetic, geometric, harmonic, and weighted means
3Step-by-step solutions - understand exactly how each calculation is performed
4Additional statistics - includes range, quartiles, variance, and standard deviation
5Frequency distribution - see how often each value occurs in your data

How to Use the Calculator

Enter your data values separated by commas, spaces, or new lines
Select the type of mean you want to calculate (arithmetic is default)
For weighted mean, enter corresponding weights
Choose your preferred decimal precision
View results including all central tendency measures and additional statistics

Statistical Formulas

Arithmetic Mean

Mean = (x₁ + x₂ + ... + xₙ) / n

Example: (10 + 20 + 30) / 3 = 20

Geometric Mean

GM = ⁿ√(x₁ × x₂ × ... × xₙ)

Example: ³√(2 × 8 × 4) = ³√64 = 4

Harmonic Mean

HM = n / (1/x₁ + 1/x₂ + ... + 1/xₙ)

Example: 3 / (1/2 + 1/3 + 1/6) = 3 / 1 = 3

Weighted Mean

WM = Σ(wᵢ × xᵢ) / Σwᵢ

Example: (2×10 + 3×20) / (2+3) = 80/5 = 16

Tips for Working with Central Tendency

Use median instead of mean when your data has significant outliers
Mode is useful for categorical data and finding the most common value
Geometric mean is best for growth rates and multiplicative processes
Harmonic mean is appropriate for rates and ratios
Consider all three measures together to understand your data distribution

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, and mode is the most frequent value. Each measure gives different insights: mean considers all values, median resists outliers, and mode shows the most common value.

When should I use median instead of mean?

Use median when your data has outliers or is skewed. For example, income data often uses median because a few very high incomes can inflate the mean. The median better represents the typical value in such cases.

Can there be more than one mode?

Yes. Data is unimodal with one mode, bimodal with two modes, or multimodal with more than two modes. If all values appear equally, there is no mode.

What is a weighted mean?

A weighted mean gives different importance to values based on their weights. It's used when some values matter more, like calculating course grades where different assignments have different point values.

When should I use geometric mean?

Use geometric mean for multiplicative growth rates, like investment returns or population growth. It's appropriate when values are percentages or ratios that compound together.

What is harmonic mean used for?

Harmonic mean is used for averaging rates. For example, if you drive 60 mph one way and 40 mph back, the harmonic mean gives the correct average speed (48 mph), not the arithmetic mean (50 mph).

How do outliers affect mean, median, and mode?

Outliers significantly affect the mean by pulling it toward extreme values. Median is resistant to outliers since it only depends on the middle position. Mode is unaffected by outliers unless they become the most frequent value.

What additional statistics does this calculator provide?

Beyond mean, median, and mode, this calculator provides: count, sum, range (max - min), quartiles (Q1, Q3), interquartile range (IQR), variance, standard deviation, and a complete frequency distribution table.