Average Calculator

Calculate the mean, median, mode, and range of a set of numbers. Perfect for statistics, data analysis, and mathematical calculations.

Enter Numbers

Input Method:

Numbers (one per line or comma-separated):

Quick Examples:

Results

Enter numbers to see calculations

How to Use

Enter your numbers in the text area, either separated by commas or on separate lines.

Use the quick examples to try different data sets and see how statistics change.

View the calculated mean, median, mode, range, and other statistical measures.

Check the sorted numbers to understand the data distribution.

Understanding Statistical Measures

Mean (Arithmetic Average)

The sum of all values divided by the number of values. Most commonly used measure of central tendency.

Formula: Mean = (Sum of all values) ÷ (Number of values)

Median

The middle value when numbers are arranged in order. Less affected by extreme values than the mean.

Method: Sort values and find the middle (or average of two middle values)

Mode

The value(s) that appear most frequently. A dataset can have no mode, one mode, or multiple modes.

Types: Unimodal (one mode), Bimodal (two modes), Multimodal (multiple modes)

Range

The difference between the largest and smallest values. Measures the spread of the data.

Formula: Range = Maximum value - Minimum value

Applications

Education

• Grade point averages
• Test score analysis
• Class performance metrics
• Student progress tracking

Business & Finance

• Sales performance
• Revenue analysis
• Market research
• Investment returns

Sports & Health

• Player statistics
• Health metrics
• Performance tracking
• Fitness goals

Example Calculations

Example 1: Test Scores

Data: 85, 92, 78, 96, 88, 91, 87

Mean: 88.14

Median: 88

Mode: None

Range: 18

Example 2: Sales Data

Data: 1200, 1500, 1200, 1800, 1350, 1200, 1600

Mean: 1407.14

Median: 1350

Mode: 1200

Range: 600

Frequently Asked Questions

What's the difference between mean, median, and mode?

Mean is the arithmetic average, median is the middle value, and mode is the most frequent value. Each provides different insights into your data's central tendency.

When should I use median instead of mean?

Use median when your data has outliers or is skewed, as it's less affected by extreme values. For example, median income is often more representative than mean income.

What if my data has no mode?

If all values appear with the same frequency (typically once each), there is no mode. This is common in continuous data or unique measurements.

How do I interpret standard deviation?

Standard deviation measures how spread out your data is. A small standard deviation means values are close to the mean, while a large one indicates more spread.