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.
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.
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 Mittelwerte step by step: 1. Zahlenreihe enter: Trennen Sie die Werte durch Komma, Leerzeichen oder Zeilenumbruch. 2. Arithmetischer Mittelwert: Summe aller Werte durch die Anzahl der Werte. Formel: x = (x1 + x2 + ... + xn) / n. 3. Median calculate: Werte sortieren. Bei ungerader Anzahl: mittlerer Wert. Bei gerader Anzahl: average der beiden mittleren Werte. Der Median ist robuster gegenueber Ausreissern als der Mittelwert. 4. Modus bestimmen: Der Wert, der am haeufigsten vorkommt. Es kann keinen, einen oder mehrere Modi geben. 5. Gewichteter Mittelwert: Jeder Wert wird mit einem Gewicht multipliziert, dann durch die Summe der Gewichte geteilt. Beispiel: Schulnoten mit unterschiedlicher ECTS-Gewichtung. 6. Wann welchen Mittelwert verwenden? Arithmetisch: Standardfall. Median: bei Ausreissern (z. B. Einkommensverteilung). Modus: bei kategorialen Daten.
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).
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