Calculate mean, median, mode, geometric mean, harmonic mean, and weighted average with complete statistical analysis, visualizations, and step-by-step solutions. Keep using this tool for free, or go Premium to remove ads and save unlimited tools to My Toolbox. See plans → × Average Calculator Embed Average Calculator Widget Keep using this tool for free, or go Premium to remove ads and save unlimited tools to My Toolbox. See plans → × Average Calculator Embed Average Calculator Widget Embed Average Calculator Widget Your ad blocker is preventing us from showing ads MiniWebtool is free because of ads. If this tool helped you, please support us by upgrading for ad-free browsing and more daily uses, or allowlist MiniWebtool.com and reload. Allow ads for MiniWebtool.com, then reload Or upgrade for ad-free browsing and higher daily limits About Average Calculator The Average Calculator is a comprehensive statistical tool that calculates the mean (average), median, mode, geometric mean, harmonic mean, and weighted average of any dataset. It provides complete statistical analysis including variance, standard deviation, range, and interactive visualizations with step-by-step calculation breakdowns. Whether you are a student, researcher, data analyst, or professional, this calculator handles datasets up to 10,000 numbers with adjustable precision. What is an Average (Mean)? The arithmetic mean , commonly called the average, is the sum of all values divided by the count of values. It represents the central tendency of a dataset and is the most widely used measure of average in statistics, everyday life, and scientific research. For example, the average of 10, 20, 30, 40, and 50 is (10+20+30+40+50)/5 = 150/5 = 30. Types of Averages Explained Arithmetic Mean The standard average calculated by summing all values and dividing by the count. Best used for datasets without extreme outliers and when values are measured on an interval or ratio scale (like temperatures, heights, or test scores). The middle value when data is sorted in order. For an odd number of values, it is the exact middle value. For an even number, it is the average of the two middle values. The median is resistant to outliers, making it ideal for skewed distributions like income or housing prices. The most frequently occurring value(s) in a dataset. A dataset can have no mode (all values appear once), one mode (unimodal), two modes (bimodal), or multiple modes (multimodal). Mode is particularly useful for categorical data or finding the most common value. The nth root of the product of n values. Used for averaging growth rates, percentages, ratios, or when data spans multiple orders of magnitude. Only defined for positive numbers. Example: Investment returns of 10%, 20%, and -5% (as multipliers: 1.10, 1.20, 0.95). Geometric mean = (1.10 × 1.20 × 0.95)^(1/3) = 1.0747, indicating 7.47% average annual return. The reciprocal of the arithmetic mean of reciprocals. Best for averaging rates when the quantity in the denominator varies, such as speeds over equal distances or prices when buying equal dollar amounts. Example: Driving 60 mph to a destination and 40 mph back. Harmonic mean = 2/(1/60 + 1/40) = 48 mph, which is the correct average speed for the round trip. Weighted Average An average where each value is multiplied by a weight representing its relative importance. Used in GPA calculations, financial portfolios, and any situation where values have different significance. Statistical Measures Provided Variance measures how spread out values are from the mean. Population variance divides by n and is used when you have data for the entire population. Sample variance divides by n-1 (Bessel's correction) and provides an unbiased estimate when working with a sample from a larger population. Standard Deviation The square root of variance, expressed in the same units as the original data. It indicates the typical distance of values from the mean. About 68% of data falls within one standard deviation of the mean in a normal distribution, and about 95% within two standard deviations. The difference between the maximum and minimum values. Range = Maximum - Minimum. A simple measure of spread, though sensitive to outliers. How to Use This Calculator Enter your data: Input numbers separated by commas, spaces, or line breaks. You can paste data directly from spreadsheets or text files. Add weights (optional): For weighted average calculations, enter corresponding weights in the weights field. Each weight should match its value in order. Select decimal precision: Choose how many decimal places you want in the results, from 0 (whole numbers) to 20 places for high precision calculations. Click Calculate: View comprehensive results including all types of averages, variance, standard deviation, interactive charts, and step-by-step calculations. When to Use Different Types of Averages Use Arithmetic Mean When: Data is symmetrically distributed without extreme outliers Values are measured on interval or ratio scales Calculating test scores, temperatures, heights, or weights You need a single representative value for normal data Use Median When: Data is skewed or contains outliers Analyzing income, housing prices, or wealth distribution Working with ordinal data (rankings) You need a robust measure of central tendency Working with categorical or nominal data Finding the most common value or category Identifying peaks in a distribution Analyzing survey responses or product preferences Use Geometric Mean When: Averaging growth rates or percentage changes Calculating average investment returns over time Working with ratios or data on logarithmic scales Data spans multiple orders of magnitude Use Harmonic Mean When: Averaging rates (speed, efficiency, prices) The quantity in the denominator varies Calculating average speed for round trips Averaging P/E ratios or other financial metrics Practical Examples Example 1: Class Test Scores A class of 10 students scored: 78, 85, 92, 88, 76, 95, 82, 79, 88, 91 Mean: 85.4 (sum of scores divided by 10) Median: 86.5 (average of 5th and 6th values when sorted) Mode: 88 (appears twice, all others appear once) Example 2: Investment Returns Annual returns over 3 years: +15%, -10%, +25% (as multipliers: 1.15, 0.90, 1.25) Arithmetic Mean: 10% (misleading for compound growth) Geometric Mean: 8.78% (accurate compound annual growth rate) Example 3: GPA Calculation (Weighted Average) Grades: A (4.0), B (3.0), A (4.0), C (2.0) with credits: 3, 4, 3, 2 Weighted Average: (4.0×3 + 3.0×4 + 4.0×3 + 2.0×2) / (3+4+3+2) = 3.33 GPA Frequently Asked Questions What is the difference between mean, median, and mode? Mean is the arithmetic average calculated by summing all values and dividing by the count. Median is the middle value when data is sorted; for even-count datasets, it is the average of two middle values. Mode is the most frequently occurring value(s). Each measure serves different purposes: mean for typical values in symmetric distributions, median for skewed data or when outliers exist, and mode for categorical data or finding the most common value. When should I use geometric mean vs arithmetic mean? Use geometric mean when averaging growth rates, percentages, ratios, or when data spans multiple orders of magnitude. For example, investment returns over multiple years should use geometric mean. Arithmetic mean is appropriate for adding absolute values like heights, weights, or test scores. Geometric mean always equals or is less than arithmetic mean. What is harmonic mean used for? Harmonic mean is ideal for averaging rates, such as speeds over equal distances, prices when buying equal dollar amounts, or any situation involving ratios with constant numerators. For example, if you drive 60 mph for one trip and 40 mph on the return, the harmonic mean (48 mph) correctly represents your average speed, not the arithmetic mean (50 mph). How do I calculate weighted average? Weighted average multiplies each value by its weight, sums these products, then divides by the sum of weights. Formula: Weighted Average = (w1*x1 + w2*x2 + ... + wn*xn) / (w1 + w2 + ... + wn). Use this calculator by entering values in the first field and corresponding weights in the optional weights field. What is the difference between population and sample standard deviation? Population standard deviation (divides by n) is used when your data represents the entire population. Sample standard deviation (divides by n-1, known as Bessel's correction) is used when data is a sample from a larger population, providing an unbiased estimate. For most real-world applications, sample standard deviation is appropriate. Why does geometric mean only work with positive numbers? Geometric mean involves multiplying all values and taking the nth root. Negative numbers or zero would create undefined or misleading results (negative products with odd counts, zero products, complex numbers with even counts of negatives). For growth rates that include negative values, convert to multipliers first (e.g., -10% becomes 0.90). How many numbers can this calculator handle? This calculator efficiently processes up to 10,000 numbers. For larger datasets, consider using specialized statistical software. The calculator provides instant results for typical educational and professional use cases.

Further Reading Mean - Wikipedia Median - Wikipedia Mode - Wikipedia Geometric Mean - Wikipedia Harmonic Mean - Wikipedia Reference this content, page, or tool as: "Average Calculator" at https://MiniWebtool.com/average-calculator/ from MiniWebtool , https://MiniWebtool.com/ by miniwebtool team. Updated: Jan 06, 2026 Developer API available: Run this tool from your app, automation, or agent with one JSON HTTP request. View API docs "Average Calculator" at https://MiniWebtool.com/average-calculator/ from MiniWebtool , https://MiniWebtool.com/ by miniwebtool team. Updated: Jan 06, 2026 Developer API available: Run this tool from your app, automation, or agent with one JSON HTTP request. View API docs by miniwebtool team. Updated: Jan 06, 2026 You can also try our AI Math Solver GPT to solve your math problems through natural language question and answer. Statistics And Data Analysis: ANOVA Calculator Arithmetic Mean Calculator Average Calculator Featured Average Deviation Calculator Box and Whisker Plot Maker Chi-Square Test Calculator Coefficient of Variation Calculator Cohen's d Calculator Compound Growth Calculator Featured Confidence Interval Calculator Confidence Interval for Proportion Calculator Correlation Coefficient Calculator Geometric Mean Calculator Gini Coefficient Calculator Harmonic Mean Calculator Histogram Maker Interquartile Range Calculator Kruskal-Wallis Test Calculator Linear Regression Calculator Logarithmic Growth Calculator Mann-Whitney U Test Calculator Mean Absolute Deviation (MAD) Calculator Mean Calculator Mean Median Mode Calculator Median Absolute Deviation Calculator Median Calculator Featured Midrange Calculator Mode Calculator Outlier Calculator Featured Population Standard Deviation Calculator Quartile Calculator Quartile Deviation Calculator Range Calculator RSD Calculator - Relative Standard Deviation Featured Root Mean Square Calculator Featured Sample Mean Calculator Sample Size Calculator Sample Standard Deviation Calculator Scatter Plot Maker Standard Deviation Calculator Standard Error Calculator Featured Statistics Calculator t-Test Calculator Variance Calculator Z-Score Calculator p-Value Calculator New Normal Distribution Calculator New Percentile Calculator New Five Number Summary Calculator New 📊 Bar Graph Maker New 🥧 Pie Chart Maker New 📈 Line Graph Maker New Bayes' Theorem Calculator New F-Test / F-Distribution Calculator New Hypergeometric Distribution Calculator New Geometric Distribution Calculator New Exponential Distribution Calculator New Weibull Distribution Calculator New Beta Distribution Calculator New Spearman Rank Correlation Calculator New Fisher's Exact Test Calculator New Contingency Table Calculator New Odds Ratio Calculator New Effect Size Calculator New A/B Test Significance Calculator New A/B Test Sample Size Calculator New Conversion Rate Calculator New Pareto Chart Generator New Six Sigma Process Capability Calculator New If you like Average Calculator, please consider adding a link to this tool by copy/paste the following code: Average Calculator ©MiniWebtool.com EMBED THE WIDGET Copy The Source Code Tip: The widget is responsive to mobile devices. If the set width is larger than the device screen width, it will be automatically adjusted to 100% of the screen width. On the preview mode the width is limited to 500. You can change data-width to any value based on your website layout. By embedding MiniWebtool widgets on your site, you are agreeing to our Terms of Service. By embedding MiniWebtool widgets on your site, you are agreeing to our Terms of Service.