Average Calculator
Calculate mean, median, and mode for a set of numbers
Average Calculation Examples
Example 1: Test Scores
Numbers: 85, 92, 78, 95, 88
Results:
- Mean: 87.6
- Median: 88
- Mode: No mode (all unique)
Mean = (85 + 92 + 78 + 95 + 88) ÷ 5 = 87.6
Example 2: Daily Sales
Numbers: 120, 145, 145, 135, 160
Results:
- Mean: 141
- Median: 145
- Mode: 145
Mode = 145 (appears twice)
Example 3: Heights (cm)
Numbers: 165, 170, 168, 172, 168
Results:
- Mean: 168.6
- Median: 168
- Mode: 168
Median = 168 (middle value when sorted)
Average Formulas
Mean
Mean = (x₁ + x₂ + ... + xₙ) ÷ n
Sum of all values divided by count of values
Median
Middle value when sorted
For even count: average of two middle values
Mode
Most frequently occurring value(s)
Can have multiple modes or no mode
Benefits & Features
Our average calculator offers multiple advantages for statistical calculations and data analysis:
Comprehensive Analysis
- Calculate mean, median, and mode
- Standard deviation computation
- Range and quartile analysis
- Data distribution insights
- Statistical summaries
Educational Value
- Learn statistical concepts
- Understand data distribution
- Practice data analysis
- Compare different averages
- Visualize data patterns
Time-Saving Features
- Instant calculations
- Bulk data processing
- Clear result presentation
- Export capabilities
- Save calculation history
Frequently Asked Questions
What's the difference between mean, median, and mode?
Each average type serves a different purpose:
- Mean: The arithmetic average, best for normal distributions
- Median: The middle value, best for skewed data or outliers
- Mode: Most frequent value, best for categorical data
Example: For numbers 2, 3, 3, 4, 10:
- Mean = 4.4
- Median = 3
- Mode = 3
When should I use each type of average?
Use Mean when:
- Data is normally distributed
- There are no extreme outliers
- Calculating grades or scores
Use Median when:
- Data is skewed
- There are outliers
- Analyzing income or house prices
Use Mode when:
- Working with categorical data
- Finding most common values
- Analyzing preferences or sizes
What are real-world applications of averages?
Averages are used in many fields:
- Education: Calculating GPAs and test scores
- Finance: Analyzing stock prices and returns
- Sports: Computing batting averages and statistics
- Science: Analyzing experimental data
- Business: Measuring sales and performance
- Healthcare: Analyzing patient data and outcomes