MeanCalculator

Mean Calculator Blog

Statistics guides and how-tos: every method behind our calculators, explained in plain English with worked examples you can check.

How to Calculate the MeanThe formula, three steps, and worked examples — including frequency tables, grouped data and averaging times. Mean vs MedianHow outliers pull the mean, when the median is the honest answer, and how to choose between them. Mean, Median and Mode ComparedDefinitions, formulas, the same data set worked three ways, and how to pick the right average. What Is an Outlier?The definition, the 1.5×IQR rule, and what outliers do to the mean — with worked fence calculations. Sample Mean vs Population MeanWhat x̄ and μ mean, when each is used, and why samples divide by n − 1 for standard deviation. How to Find the MedianSorting, the middle value for odd counts, and averaging the two middle values for even counts. How to Find the ModeFrequency counting, bimodal and multimodal sets, and what 'no mode' really means. How to Calculate a Weighted AverageValues times weights, divided by total weight — with grade and GPA examples you can copy. How to Calculate Your GPALetter grades to grade points, weighted by credit hours: semester and cumulative GPA by hand. Arithmetic Mean vs Geometric MeanWhy growth rates need the geometric mean, with a worked example where the two answers disagree. Mean from a Frequency TableMultiply, add, divide — with a worked example, grouped-data notes and the common traps. Mean Absolute Deviation ExplainedThe average distance from the mean, the four-step method, and how MAD compares with standard deviation. Five Number Summary ExplainedMinimum, Q1, median, Q3 and maximum — how quartiles are found and how the five numbers become a box plot. Common Mean Calculation MistakesAveraging averages, phantom zeros, silent outlier deletion, wrong denominators and early rounding — with fixes. How to Calculate the Mean in ExcelThe AVERAGE function step by step, plus MEDIAN, MODE, STDEV and VAR — and when a web calculator is faster. Mean ExamplesWorked answers to the sets students actually ask about — 'what is the mean of 4, 6, 8, 10, 12, 14?' and more.

Or go straight to a calculator

Mean CalculatorThe full descriptive set — mean, median, mode, range and standard deviation with steps. Median CalculatorThe middle value, with the sorted data displayed. Mode CalculatorThe most frequent value, with a full frequency table. Mean Median Mode CalculatorThe three measures side by side, compared. Weighted Mean CalculatorWhen some values count more: grades, GPA, weighted scores. Geometric Mean CalculatorThe right average for growth rates and ratios. Harmonic Mean CalculatorAverage speeds and rates, done correctly. Range CalculatorRange and midrange, the simplest spread measures. Standard Deviation CalculatorHow spread out your data is, sample and population. Variance CalculatorSample and population variance with the deviation table. Five Number Summary CalculatorMin, Q1, median, Q3, max, with IQR and outlier fences. Midrange CalculatorThe midpoint between the smallest and largest values. Population Mean CalculatorThe mean μ when your data is the whole population. Mean Calculator with FrequencyValues with frequencies, and grouped class data. Mean Absolute Deviation CalculatorThe average distance from the mean (MAD).