Math Calculators
Statistics Calculator
Compute count, sum, mean, median, mode, quartiles, range, variance, and standard deviation for a data set.
Quick guide
Paste or type a data set to compute count, sum, mean, median, mode, quartiles, range, variance, and standard deviation. Standard deviation is shown in both its sample (n−1) and population (n) forms.
Read the full explanationHow It Works
Descriptive statistics summarize a data set: central tendency (mean, median, mode) and spread (range, quartiles, variance, standard deviation). Sample deviation divides by n−1; population by n.
Formula Used
σ = √( Σ(x − μ)² ÷ n ); s = √( Σ(x − x̄)² ÷ (n − 1) ).
Example Calculation
For 12, 15, 12, 18, 21, 15, 17: mean ≈ 15.71, median 15, sample std. dev. ≈ 3.40.
Practical Use Cases
- Summarize survey or experiment results.
- Compare consistency with standard deviation.
- Find quartiles for box plots.