Mean Calculator – Guide & Formulas
Calculate the arithmetic mean, weighted mean, geometric mean, and harmonic mean of a dataset. Perfect for student grading, finance, and statistics studies.
Quickly find multiple types of statistical averages (arithmetic, weighted, geometric, and harmonic means) for any list of numbers. Includes step-by-step summations.
Key Takeaway
Use the free Mean Calculator to calculate the arithmetic mean, weighted mean, geometric mean, and harmonic mean of a dataset. perfect for student grading, finance, and statistics studies. Get instant results with step-by-step explanations.
How to Use the Mean Calculator
- Enter your dataset as comma-separated numbers (e.g. 10, 20, 30).
- For weighted averages, input custom weights corresponding to each value.
- Compare different types of means computed instantly.
- Copy the detailed statistical average report.
The Formula
Variable Definitions
- x_i: Individual numbers in the dataset
- n: The total number of values in the set
- Mean: The central arithmetic average
Calculating Final Exam Grades
A student receives exam scores of 85, 90, and 95, and wants to find their simple arithmetic class average.
- Step 1: Input dataset: 85, 90, 95.
- Step 2: Add values: 85 + 90 + 95 = 270.
- Step 3: Divide by count: 270 / 3 = 90.
- Step 4: The class average grade is 90.
Frequently Asked Questions
When should I use a weighted mean?
Use a weighted mean when some values contribute more heavily to the final average than others, such as school grades where tests weigh 70% and homework weighs 30%.
What is a geometric mean used for?
The geometric mean is used in finance and biology to analyze rates of change, compound interest growth, and population multiplication rates.
Is the mean sensitive to outliers?
Yes. The arithmetic mean is heavily influenced by extremely high or low values, which is why medians are often preferred for highly skewed data.