Statistics Calculator
Calculate statistical measures. Standard deviation, variance, quartiles and more. Online calculator with solution path and worked examples.
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 standard deviation?
Standard deviation measures how spread out values are from the mean. A low standard deviation means values cluster near the mean. A high one means they are more spread out.
What is the difference between population and sample statistics?
Population statistics describe the entire group. Sample statistics describe a subset and include corrections (like using n-1 in variance) to estimate population parameters from the sample.
What is the Statistics Calculator?
The statistics calculator computes statistical measures: mean, standard deviation, variance, median, quartiles and range.
How does the Statistics Calculator work?
Enter your data series. The calculator determines all common descriptive statistics: location parameters (mean, median, quartiles) and dispersion parameters (variance, standard deviation, range, interquartile range).
Key Data and Facts
Standard deviation = square root of variance. 68-95-99.7 rule for normal distributions: 68% of values lie within +/- 1 standard deviation of the mean.
Step-by-Step Guide
How to use den Statistik-Rechner step by step: 1. Datenreihe enter -- tragen Sie Ihre Zahlenwerte ein, getrennt durch Komma oder Semikolon, z. B. Pruefungsergebnisse oder Messwerte. 2. Lageparameter ablesen -- der Mittelwert (arithmetisches Mittel) zeigt den average, der Median den mittleren Wert bei sortierten Daten. Bei schiefen Verteilungen weichen beide voneinander ab. 3. Streuungsparameter pruefen -- die Standardabweichung zeigt, wie stark die Werte um den Mittelwert streuen. Kleine Werte bedeuten homogene Daten, grosse Werte starke Streuung. 4. Quartile und Spannweite betrachten -- Q1 (25 %) und Q3 (75 %) begrenzen die mittleren 50 % der Daten. Der Interquartilsabstand (IQR = Q3 - Q1) ist robust gegen Ausreisser. 5. Ergebnisse interpretieren: Sind die Werte normalverteilt, liegen ca. 68 % innerhalb von +/- 1 Standardabweichung. compare Sie die Kennzahlen, um Trends oder Ausreisser zu erkennen.
Calculation Example
Datenreihe: 4, 7, 8, 9, 12. Mittelwert: (4+7+8+9+12)/5 = 8,0. Median: 8. Varianz: 6,8. Standardabweichung: 2,61.
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