Descriptive Statistics
Descriptive
Calculators & Tools
Midrange Calculator
The Midrange Calculator computes the midrange of a data set, which is the arithmetic mean of the maximum and minimum values. It is the simplest measure of central tendency and provides a quick central estimate when only the range of a data set is known. Use it alongside the mean and median to compare measures of centre and assess the symmetry of a data distribution.
Minimum and Maximum Calculator
The Minimum and Maximum Calculator finds the smallest and largest values in a dataset and computes the range (the difference between them). It accepts any list of numerical values and returns min, max, range, count, and optionally the positions of each extreme value in the dataset. Use it for descriptive statistics, data quality checks, outlier detection, and summarising the spread of any numerical dataset.
Outlier Calculator
The Outlier Calculator identifies statistical outliers in a dataset using the IQR (interquartile range) method, the Z-score method (flagging values beyond 2 or 3 standard deviations), and Grubbs test. It accepts up to 100 values, computes Q1, Q3, and the IQR fence boundaries, and highlights any data points that fall outside 1.5 times the IQR. Use it to clean datasets before running regression, ANOVA, or other statistical analyses.
MSE Calculator (Mean Squared Error)
The Mean Squared Error Calculator computes the MSE between a set of observed values and their corresponding predicted values. MSE averages the squared differences between each prediction and its actual outcome, giving a single number that measures overall prediction accuracy. Use it to evaluate regression models, forecast accuracy, and the performance of any numerical prediction algorithm.
Standard Deviation of Sample Mean Calculator
The Standard Deviation of Sample Mean Calculator computes the standard error (SE) of the mean, which measures how much a sample mean is expected to vary from the true population mean. It divides the sample standard deviation by the square root of the sample size: SE = s divided by the square root of n. A smaller standard error indicates a more precise estimate of the population mean, and it is a key input for confidence intervals and hypothesis tests.
Least to Greatest Calculator
The Least to Greatest Calculator sorts a list of numbers from the smallest value to the largest in ascending order. It accepts any mix of integers, decimals, and negative numbers and returns the sorted sequence instantly. Use it to prepare data sets for statistical analysis, identify the range, or arrange values before calculating quartiles, median, and other order-dependent statistics.