Share:
How It Works
Enter a comma-separated list of numbers and choose which statistic to compute. The calculator handles mean (average), median (middle value), standard deviation (spread), variance, and coefficient of variation. It supports both population and sample formulas.
Example Problem
Find the mean and population standard deviation of 4, 8, 6, 5, 3:
- Mean = (4+8+6+5+3) / 5 = 26 / 5 = 5.2
- Variance = ((4−5.2)² + (8−5.2)² + ... + (3−5.2)²) / 5 = 2.96
- Std Dev = √2.96 ≈ 1.72
Frequently Asked Questions
What is the difference between population and sample standard deviation?
Population standard deviation divides by N (total count). Sample standard deviation divides by N−1 to correct for the bias when estimating from a subset. Use sample when your data is a subset of a larger group.
How to find the median of an even number of values?
Sort the values and average the two middle numbers. For 2, 4, 6, 8 the middle two are 4 and 6, so the median is 5.
What does the coefficient of variation tell you?
The CV expresses standard deviation as a percentage of the mean, making it useful for comparing variability between data sets with different units or scales. A CV of 15% means the spread is 15% of the average.
Related Calculators
- Z Score Calculator — find how many standard deviations a value is from the mean.
- Interpolation Calculator — estimate values between data points.
- Quadratic Equation Calculator — solve second-degree equations.
- Percent Error Calculator — measure accuracy between experimental and expected values.
- Logarithm Calculator — compute log transformations used in statistical analysis.