Average Calculator

Formulas Used

1. Simple Average (Mean)

mean = (sum of all values) / (number of values)

2. Weighted Average

weighted average = (Σ(value × weight)) / (Σ weights)

3. Average of a List

average = (v₁ + v₂ + ... + vₙ) / n

4. Running Average

new average = (old average × count + new value) / (count + 1)

Steps

To calculate a simple average:

1. List all numbers
2. Add them together
3. Divide by how many numbers there are

To calculate a weighted average:

1. Multiply each value by its weight
2. Add all weighted values
3. Divide by the sum of the weights

To calculate the average of a list:

1. Split the list into individual numbers
2. Convert each to a numeric value
3. Apply the simple average formula

To calculate a running average:

1. Multiply the old average by the number of values
2. Add the new value
3. Divide by the new total count

Understanding Average Calculations

Averages are one of the most widely used tools in mathematics, statistics, finance, and everyday decision‑making. They help summarize large sets of numbers into a single, meaningful value.

This calculator supports four essential types of averages: simple mean, weighted average, list average, and running average. Each method is useful in different situations — from school grades and financial analysis to sports statistics and scientific measurements.

The formulas and steps above show exactly how each calculation works, helping you understand not just the result, but the math behind it.