Average Calculator
Calculate the average (arithmetic mean) of a set of numbers. Also finds the sum, count, median, and geometric mean instantly.
How to Calculate Average
The term "average" most commonly refers to the arithmetic mean. It is calculated by adding up all the numbers in a dataset and then dividing by the total count of those numbers.
Average = (Sum of all values) ÷ (Total number of values)
Example
Suppose you have the numbers: 5, 10, 15, 20.
- Sum: 5 + 10 + 15 + 20 = 50
- Count: There are 4 numbers.
- Calculation: 50 ÷ 4 = 12.5
The average is 12.5.
Difference Between Average, Median, and Mode
- Average (Mean): The mathematical center of the data. Best for data without extreme outliers.
- Median: The middle number when the list is sorted. Better representation if there are huge outliers (like one millionaire in a room of students).
- Mode: The number that appears most frequently.
? Frequently Asked Questions
A weighted average multiplies each number by a 'weight' (importance) factor, sums those up, and divides by the sum of the weights. This standard calculator performs a simple unweighted average.
The formula works exactly the same. Add the negative numbers to the sum (which effectively subtracts them) and divide by the total count.
The average is sensitive to outliers (extremely high or low numbers), which pull the average towards them. The median simply looks at the middle value, ignoring how extreme the ends are.