Mean Calculator
Calculate arithmetic mean, median, mode and weighted average. Step-by-step explanation, free and no registration required.
Result
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Note: These calculations are for informational purposes only and do not replace professional tax or financial advice. All information without guarantee.
FAQ
Frequently Asked Questions
What is the difference between mean, median, and mode?
The mean is the sum divided by the count. The median is the middle value when sorted. The mode is the most frequent value. Each measures central tendency differently.
When should I use the median instead of the mean?
Use the median when data contains outliers or is skewed (e.g., income data). The median is more robust as it is not affected by extreme values.
Does the calculator show the working steps?
Yes. In addition to the final result the calculator displays the intermediate steps so you can follow the solution — ideal for school, university or homework.
Guide
Quick Answer
The mean calculator computes the arithmetic mean, median, mode and weighted mean of a data set.
What is the Mean Calculator?
The mean calculator computes the arithmetic mean, median, mode and weighted mean of a data set.
How does the Mean Calculator work?
Enter a series of numbers. The calculator computes the arithmetic mean (sum / count), the median (middle value of the sorted series), the mode (most frequent value) and optionally the weighted mean.
Key Data and Facts
Arithmetic mean = sum of all values / count. Median: middle value of sorted series. Mode: most frequent value. Weighted mean accounts for different weightings.
Step-by-Step Guide
How to calculate averages step by step: 1. Enter the series of numbers: Separate the values with a comma, a space or a line break. 2. Arithmetic mean: The sum of all values divided by the number of values. Formula: x = (x1 + x2 + ... + xn) / n. 3. Calculate the median: Sort the values. With an odd number: the middle value. With an even number: the average of the two middle values. The median is more robust against outliers than the mean. 4. Determine the mode: The value that occurs most frequently. There can be no mode, one mode or several modes. 5. Weighted mean: Each value is multiplied by a weight and then divided by the sum of the weights. Example: school grades with different ECTS weightings. 6. When to use which average? Arithmetic: the standard case. Median: with outliers (e.g. income distribution). Mode: with categorical data.
Calculation Example
Zahlenreihe: 3, 5, 7, 7, 9, 15. Arithmetischer Mittelwert: (3+5+7+7+9+15) / 6 = 7,67. Median: (7+7) / 2 = 7. Modus: 7 (kommt 2x vor).
Sources · E-E-A-T
Official sources
Calculations are based on applicable German laws and official data:
Full methodology at Methodology.
Mathematics
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