Average Calculator

An average is a measure of central tendency that represents the typical value in a dataset. Different types of averages (mean, median, mode) provide different insights into your data and are useful in different situations.

There are three main types of averages:

• Mean (Arithmetic Average): Sum of all values divided by the count of values
• Median: The middle value when all values are arranged in order
• Mode: The value that appears most frequently in the dataset
• Each type provides different insights and is useful in different scenarios

Choose the right average based on your data and needs:

• Use Mean when: Data is normally distributed and you want the mathematical average
• Use Median when: Data has outliers or is skewed, as it's less affected by extreme values
• Use Mode when: You want to find the most common value, especially useful for categorical data
• Use Weighted Average when: Different values have different levels of importance

Outliers (extreme values) affect averages differently: Mean is highly sensitive to outliers and can be skewed significantly. Median is resistant to outliers and provides a better central tendency for skewed data. Mode is unaffected by outliers unless the outlier itself is the most frequent value.

A weighted average gives different importance (weights) to different values. Use it when some values are more significant than others, such as calculating course grades where exams count more than homework, or when analyzing survey data where some responses represent larger groups.

Our calculator uses precise mathematical algorithms and handles floating-point arithmetic carefully to ensure maximum accuracy. All statistical calculations follow standard mathematical formulas and are verified for correctness.