How do you calculate an average?

The arithmetic mean (average) is calculated by summing all numbers and dividing by the count. For example, average of 2, 4, 6 is (2+4+6)/3 = 4.

What's the difference between mean, median, and mode?

Mean is the average, median is the middle value when sorted, mode is the most frequent number. Use mean for symmetric data, median for skewed data.

How to calculate weighted average?

Multiply each value by its weight, sum the products, then divide by total weight. Example: Grades 90 (weight 2), 80 (weight 1) = (90*2 + 80*1)/(2+1) = 86.67

What are real-world uses of averages?

Averages are used in: grades (GPA), sports statistics (batting average), business (average sales), economics (average income), science (average temperature), and finance (average returns).

Free Average Calculator

What is an Average?

An average (arithmetic mean) is the sum of a set of numbers divided by the count of numbers. It represents the central value in a dataset.

Key applications: Statistics (data analysis), education (grades), sports (performance metrics), business (sales averages), economics (income levels).

Formula: Average = (Sum of all numbers) ÷ (Count of numbers)
Example: Average of 10, 20, 30 = (10 + 20 + 30) ÷ 3 = 20

Arithmetic Mean Calculator

Enter Numbers (comma-separated) Separate numbers with commas or spaces

Average calculation will appear here.

Median Calculator

The middle value when numbers are sorted.

Enter Numbers (comma-separated)

Median calculation will appear here.

Mode Calculator

The most frequent number in the set.

Enter Numbers (comma-separated)

Mode calculation will appear here.

Weighted Average Calculator

Calculate average with different weights.

Enter Values (comma-separated)

Enter Weights (comma-separated)

Weighted average calculation will appear here.

Average Calculator Examples

Example 1: Simple Mean

Problem: Average of 10, 20, 30

Solution: (10+20+30)/3 = 20

Use Case: Calculating average test scores

Example 2: Median

Problem: Median of 1, 3, 5, 7, 9

Solution: Middle value = 5

Use Case: Finding median household income

Example 3: Mode

Problem: Mode of 2, 3, 3, 4, 4, 4

Solution: 4 (appears most frequently)

Use Case: Most common shoe size in sales data

Example 4: Weighted Average

Problem: Values: 90, 80; Weights: 3, 2

Solution: (90*3 + 80*2)/(3+2) = 86

Use Case: Calculating GPA with credit hours

How to Calculate Averages: Complete Guide

Method 1: Arithmetic Mean

Sum all numbers in the set
Count the numbers
Divide sum by count
Example: (5+7+9)/3 = 7

Method 2: Median

Sort numbers ascending
If odd count: Take middle value
If even count: Average of two middle
Example: Sorted [1,3,5] median = 3

Method 3: Mode

Count frequency of each number
Identify highest frequency
May have multiple modes
Example: In [1,2,2,3] mode = 2

Method 4: Weighted Average

Multiply each value by weight
Sum the products
Sum the weights
Divide product sum by weight sum

Real-World Applications of Averages

📚 Education

GPA calculations
Test score averages
Class performance metrics
Attendance rates

🏆 Sports

Batting averages
Points per game
Team statistics
Player rankings

💼 Business

Average sales
Customer ratings
Inventory turnover
Employee performance

📊 Economics

Average income
Unemployment rates
Inflation averages
GDP per capita