Free online average calculator to find the mean, median, mode, and range of a set of numbers. Perfect for statistics, data analysis, and mathematics. Calculate averages instantly.
Separate numbers with commas. Example: 5, 10, 15, 20
The arithmetic mean is the sum of all values divided by the number of values. It's the most common measure of central tendency and is affected by extreme values.
Mean = (x₁ + x₂ + ... + xₙ) / n
The middle value when numbers are arranged in order. If there's an even number of values, it's the average of the two middle values. Less affected by extreme values.
Middle value in ordered dataset
The value that appears most frequently in the dataset. A dataset can have one mode, multiple modes (bimodal, multimodal), or no mode if all values appear equally.
Most frequently occurring value
The difference between the highest and lowest values in the dataset. It measures the spread or dispersion of the data.
Range = Maximum - Minimum
Calculate the average of these test scores: 85, 92, 78, 95, 88, 82, 90
Mean: (85+92+78+95+88+82+90)/7 = 87.3
Median: 88 (middle value when ordered)
Mode: No mode (all values unique)
Range: 95 - 78 = 17
Monthly sales figures: 1200, 1350, 1100, 1450, 1300, 1250, 1400, 1350
Mean: $1,300 (average monthly sales)
Median: $1,325 (middle value)
Mode: $1,350 (appears twice)
Range: $1450 - $1100 = $350
Daily temperatures: 72, 75, 71, 73, 74, 72, 76, 73, 72, 74
Mean: 73.2°F
Median: 73°F
Mode: 72°F (appears 3 times)
Range: 76 - 71 = 5°F
Mean is the arithmetic average (sum ÷ count). Median is the middle value when ordered.Mode is the most frequently occurring value. Each measures central tendency differently and is useful in different situations.
Use median when your data has extreme outliers or is skewed. For example, income data often uses median because a few very high incomes would skew the mean upward, making it less representative of the typical person.
Yes! A dataset can be bimodal (two modes), multimodal (multiple modes), or have no mode if all values appear equally often. Our calculator will show all modes that exist in your data.
Arrange the numbers in order and find the average of the two middle values. For example, in [2, 4, 6, 8], the median is (4 + 6) ÷ 2 = 5. Our calculator does this automatically.
The range shows the spread of your data - the difference between the highest and lowest values. A large range indicates high variability, while a small range suggests consistency. It's a simple measure of dispersion.
Our calculator provides highly accurate results using JavaScript's built-in mathematical operations. It's suitable for educational purposes, business analysis, scientific research, and everyday calculations.
Yes! Our calculator supports decimal numbers, negative values, and mixed datasets. It handles all types of numerical data and provides accurate statistical measures for any combination of numbers.
Explore our other free math calculators for comprehensive mathematical solutions:
Calculate statistical variability
Comprehensive statistical analysis
Calculate percentages and changes
Find median values quickly
Calculate data spread and range
Advanced mathematical operations