How do I calculate an average step by step?

1) Add up all the numbers (find the sum). 2) Count how many numbers you have. 3) Divide the sum by the count. Example: For 5, 10, 15: Sum = 30, Count = 3, Average = 30 ÷ 3 = 10.

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

Mean is the arithmetic average (sum ÷ count). Median is the middle value when data is sorted. Mode is the most frequently occurring value. For 2, 3, 3, 5, 7: Mean = 4, Median = 3, Mode = 3.

How do I calculate a weighted average?

Multiply each value by its weight, sum these products, then divide by the sum of weights. Example: Values 80, 90 with weights 0.3, 0.7: (80×0.3 + 90×0.7) ÷ (0.3+0.7) = (24 + 63) ÷ 1 = 87.

How do I find the median?

Sort numbers from smallest to largest. If odd count, median is the middle number. If even count, median is the average of the two middle numbers. For 1, 3, 5, 7, 9: Median = 5. For 1, 3, 5, 7: Median = (3+5)/2 = 4.

How do I calculate average grade?

Add all your grades together, then divide by the number of grades. For weighted grades, multiply each grade by its weight (credit hours or percentage), sum the products, and divide by total weight.

What is the mode and how do I find it?

The mode is the value that appears most often. A data set can have no mode (all values unique), one mode (unimodal), or multiple modes (bimodal/multimodal). For 1, 2, 2, 3, 4: Mode = 2.

How do I calculate average percentage?

Add all percentages together and divide by the count. For weighted percentages, multiply each by its weight first. Example: 80%, 90%, 70%: Average = (80 + 90 + 70) ÷ 3 = 80%.

What is range and how is it calculated?

Range measures the spread of data: Range = Maximum value - Minimum value. For 5, 10, 15, 20, 25: Range = 25 - 5 = 20. A larger range indicates more spread in the data.

Can I calculate average with decimals and fractions?

Yes! Enter decimal numbers directly (3.5, 7.25) or convert fractions to decimals first (1/4 = 0.25). Our calculator handles decimals with full precision.

What is a moving average?

A moving average calculates averages over rolling periods of data. For a 3-period moving average of 1, 2, 3, 4, 5: First = (1+2+3)/3 = 2, Second = (2+3+4)/3 = 3, Third = (3+4+5)/3 = 4.

Average Calculator

Our free average calculator helps you find the mean, median, mode, range, sum, and count of any data set. Perfect for students, teachers, and professionals who need to analyze numbers quickly and accurately with detailed step-by-step solutions.

star 4.9 (78,543 ratings)

calendar_today Updated: April 2025

auto_awesome AI Insights AI

analytics Average Calculator

Calculation Type

Enter Numbers

Separate numbers with commas, spaces, or newlines

Decimal Places

Parsed Data

functions Results

Mean (Average)

Sum ÷ Count

Median

Mode

None

Sum 150

Count 5

Minimum 10

Maximum 50

Range 40

Sorted (Ascending)

10, 20, 30, 40, 50

Input Values

Calculation Type

Basic Average (Mean)

Weighted Average

Full Statistics

Numbers

auto_awesome AI Analysis

Statistics for [10, 20, 30, 40, 50]:

Mean: 30 (sum 150 ÷ 5 numbers)
Median: 30 (middle value when sorted)
Range: 40 (50 - 10)
Mode: None (all values appear once)

This is a perfectly symmetric dataset - mean equals median, indicating no skew.

lightbulb Tips

•Mean = Sum ÷ Count
•Median: middle value when sorted
•Mode: most frequent value
•Range = Max - Min

analytics Reference

Formulas

Mean Σx ÷ n

Variance Σ(x-μ)² ÷ n

Std Dev √Variance

Tips

Median is robust to outliers

Use weighted avg for grades

How to Use This Calculator

tune

Choose Type

Select basic average, weighted average, or full statistics.

edit

Enter Numbers

Input your numbers separated by commas or spaces.

balance

Add Weights

For weighted average, enter corresponding weights.

analytics

View Results

See mean, median, mode, range, and step-by-step solution.

The Formula

The arithmetic mean is calculated by summing all values and dividing by the count. Median is the middle value when sorted. Mode is the most frequent value.

Mean = (x₁ + x₂ + ... + xₙ) / n

lightbulb Variables Explained

x₁, x₂, ..., xₙ The values in your data set
n The total count of values
Mean The arithmetic average

tips_and_updates Pro Tips

Mean is affected by outliers; median is more robust

Mode can have multiple values or no mode at all

Range = Maximum - Minimum value

For weighted average, multiply each value by its weight first

Use median for skewed data distributions

Standard deviation measures how spread out the data is

Average Calculator - Find Mean, Median, Mode & More

Calculate averages instantly with our free online calculator. Find mean, median, mode, range, sum, and standard deviation for any set of numbers. Perfect for students, teachers, and data analysis.

Mean (Arithmetic Average) Calculator

The mean is the most common type of average. Add all numbers together and divide by the count. Our calculator shows each step of the calculation and handles any number of values.

Weighted Average Calculator

Calculate weighted averages when values have different importance. Perfect for grade calculations, portfolio returns, and any situation where some values count more than others.

Median Calculator

Find the middle value of your data set. The median is less affected by outliers than the mean, making it useful for skewed distributions like income or house prices.

Mode Calculator

Identify the most frequently occurring value(s) in your data. A data set can have no mode, one mode (unimodal), or multiple modes (bimodal/multimodal).

Grade Average Calculator

Calculate your average grade or GPA. Enter your scores and optional weights for different assignments or courses to get your overall average.

Statistics and Data Analysis

Get comprehensive statistics including sum, count, minimum, maximum, range, variance, and standard deviation. Perfect for data analysis and statistical research.

Frequently Asked Questions

Related Tools

View all Math View all arrow_forward

payments

Average Calculator

auto_awesome AI Analysis

lightbulb Tips

analytics Reference

How to Use This Calculator

Choose Type

Enter Numbers

Add Weights

View Results

The Formula

lightbulb Variables Explained

tips_and_updates Pro Tips

Average Calculator - Find Mean, Median, Mode & More

Mean (Arithmetic Average) Calculator

Weighted Average Calculator

Median Calculator

Mode Calculator

Grade Average Calculator

Statistics and Data Analysis

Frequently Asked Questions

Related Tools

Percentage Calculator

Grade Calculator

GPA Calculator

Std Dev Calculator

Tags

auto_awesome AI Assistant