Statistics Calculator

Calculate comprehensive descriptive statistics for a data set including mean, median, standard deviation, variance, standard error of the mean, and range. Understanding these measures is fundamental for data analysis, research, and decision-making across every field from business analytics to scientific research. The mean (average) is sensitive to outliers while the median (middle value) is robust. Standard deviation measures how spread out values are from the mean—about 68% of data falls within one SD, 95% within two SDs for normal distributions. Variance is the square of standard deviation. Standard error of the mean (SEM) estimates how much the sample mean would vary across repeated samples.