Average of List
Calculate the mean, median, mode, and other statistics from your list of numbers with customizable formatting options.
Average of List
Calculate the average (mean), median, and mode of a list of numbers.
Example: 10, 25, 3.5, 42, -7, 0, 100
About Average Calculator
What is an Average Calculator?
An average calculator analyzes a list of numbers to find different types of averages and statistics. It calculates the mean (arithmetic average), median (middle value), mode (most frequent value), and sum of all numbers. This tool helps you quickly understand the central tendencies of your data without complex manual calculations.
Types of Averages
Mean (Arithmetic Average)
The sum of all values divided by the count of values. This is the most common type of average.
Formula: Mean = (x₁ + x₂ + ... + xₙ) / n
Median
The middle value when all values are arranged in order. For an even number of values, it's the average of the two middle values.
Example: For [1, 3, 5, 7, 9], the median is 5.
Mode
The value that appears most frequently in the dataset. A dataset can have multiple modes or no mode at all.
Example: For [1, 2, 2, 3, 4], the mode is 2.
Range
The difference between the maximum and minimum values in the dataset. It measures the spread of the data.
Formula: Range = Max - Min
Common Uses
- Data Analysis: Find central tendencies in datasets
- Statistics: Calculate different types of averages
- Finance: Find average costs, revenues, or returns
- Education: Calculate grade averages or test scores
- Science: Find average measurements or experimental results
- Sports: Calculate average performance statistics
How to Use
- Enter or paste your list of numbers in the input box
- Customize the decimal separator and thousands separator if needed
- Set the number of decimal places for rounding
- Click "Calculate" to analyze your numbers
- View the results showing mean, median, mode, sum, and count
- Copy individual results or all statistics as needed
Pro Tips
- Compare the mean, median, and mode to understand the distribution of your data
- If the mean and median are very different, your data might have outliers
- When using whitespace as a thousands separator, separate your input numbers with commas or new lines
- Use the decimal places option to control the precision of your results
- For financial calculations, typically use 2 decimal places
Frequently Asked Questions
What's the difference between mean, median, and mode?
Mean is the sum of values divided by count, median is the middle value when sorted, and mode is the most frequent value.
When should I use median instead of mean?
Use median when your data has outliers or is skewed, as median is less affected by extreme values.
Can a dataset have multiple modes?
Yes, if multiple values appear with the same highest frequency, they are all considered modes.
How are decimal numbers handled in the calculations?
All calculations are performed with full JavaScript number precision. The decimal places setting only affects how results are displayed.