Sum of Squares Calculator
Calculate Sum of Squared Numbers
Calculate the sum of squares with detailed step-by-step solutions, variance, and standard deviation.
Numbers
Formula:
Σx² = 1² + 2² + 3² + 4² + 5²
Import Numbers
Supports comma, space, or newline separated values
What is Sum of Squares?
The sum of squares is the sum of the squares of numbers. It's commonly used in statistics and data analysis.
Formula:
Σx² = x₁² + x₂² + ... + xₙ²
Example:
For [1, 2, 3]:
1² + 2² + 3² = 1 + 4 + 9 = 14
Features
- Step-by-step calculations
- Add/remove numbers easily
- Edit numbers inline
- Mean calculation
- Variance calculation
- Standard deviation
- Bulk import numbers
- Copy results
- Quick examples
Statistical Measures
Mean (μ):
Average of all numbers
Variance (σ²):
Average of squared deviations from mean
Std Dev (σ):
Square root of variance
Sum of Squares:
Sum of all squared values
Use Cases
- Statistical analysis
- Variance calculations
- Standard deviation
- Regression analysis
- Error calculations
- Data science
- Quality control
- Scientific research
Applications
Common Applications:
Statistics:
Calculate variance and standard deviation
Machine Learning:
Loss functions and error metrics
Physics:
Root mean square calculations
Finance:
Portfolio risk analysis
You Might Also Like
Explore more tools in this category
Dress Size Calculator
Calculate women's dress size and convert between US, UK, EU, and AU sizing systems
Capacitance Calculator
Calculate capacitance for parallel, series, plate capacitors, and energy storage
Heat Index Calculator
Calculate heat index and apparent temperature from temperature and humidity
Rainfall Volume Calculator
Calculate water volume from rainfall for rainwater harvesting
Crop Factor Calculator
Calculate crop factor and focal length equivalents for camera sensors
Air Density Calculator
Calculate air density based on temperature, pressure, and humidity
Wind Chill Calculator
Calculate wind chill temperature based on air temperature and wind speed
Carbon Footprint Calculator
Estimate yearly carbon emissions based on travel, electricity, and food habits
Fuel Cost Calculator
Calculate fuel costs for your trips and daily commutes