Berechne Mittelwert, Median, Modus, Standardabweichung, Varianz und mehr für beliebige Datensätze. Perfekt für Studenten, Forscher und Datenanalysten. Alle Berechnungen clientseitig.
Statistics is the mathematical science of collecting, analyzing, interpreting, and presenting data. Whether you are a student working on a homework assignment, a researcher analyzing experimental results, or a data scientist exploring a dataset, understanding descriptive statistics is the essential first step.
This statistics calculator computes all fundamental descriptive statistics in a single calculation: measures of central tendency (mean, median, mode), measures of spread (range, variance, standard deviation, IQR), and position statistics (Q1, Q3). Every result is accompanied by a detailed step-by-step breakdown so you understand exactly how each value is derived.
Statistical literacy is increasingly vital in today's data-driven world. Medical researchers use standard deviation to quantify variability in clinical trial results. Engineers use it to monitor manufacturing quality. Educators use mean and median to summarize student performance.
Datensatz: 4, 8, 15, 16, 23, 42. Sortiert: 4, 8, 15, 16, 23, 42. Mittelwert = (4+8+15+16+23+42)/6 = 108/6 = 18. Median = (15+16)/2 = 15,5. Kein Modus (alle einzigartig). Spannweite = 42−4 = 38. σ ≈ 12,49 (Grundgesamtheit), s ≈ 13,67 (Stichprobe).
Dataset (n = 6)
4, 8, 15, 16, 23, 42
Mean — sum all values, divide by count
Median — middle value of sorted data
Sorted: [4, 8, 15, 16, 23, 42] → Median = 15.5
Mode — most frequently occurring value
No mode (all values appear once)
Variance (population) — average squared deviation from mean
Standard deviation (population)
Sample variance (Bessel-corrected, n−1)
Sample standard deviation