The Descriptive Statistics Analyzer turns pasted numbers into mean, median, mode, range, variance, standard deviation and z-scores, with every step shown.
Paste a list of numbers separated by commas, spaces or new lines. The analyzer sorts them and works out each summary statistic step by step, with a dot plot of the data.
The mean is the sum divided by the count. The median is the middle value once the list is sorted, or the average of the two middle values when the count is even. The mode is the value that appears most often, and a dataset can have more than one mode or none.
The range is the largest value minus the smallest. The variance is the average squared distance from the mean, and the standard deviation σ is its square root, in the same units as the data. This analyzer uses the population formulas, dividing by n.
The dot plot stacks repeated values, marks the mean and median, and shades one standard deviation either side of the mean. When the mean sits well away from the median, the data is skewed toward the side of the mean.