Statistics & Descriptive Data Calculator
Compute central tendencies, sample & population dispersion metrics, frequency distributions, and empirical outlier boundaries from raw datasets
Enter numerical numbers separated by delimiters
Arithmetic Mean (x̄) & Median
x̄ = 28.900 • Median = 27.000
Valid Dataset (n = 10)
Sum Σx = 289.000 • Range: 38.000 (12.000 to 50.000)
Standard Deviation (s / σ)
11.191
Sample standard deviation
Variance (s² / σ²)
125.211
Sum of squared deviations ÷ (n-1)
Quartiles (Q₁, Q₂, Q₃)
20.00, 27.00, 33.00
IQR = 13.00 (Q₃ – Q₁)
Coefficient of Variation (CV)
38.72%
(Standard Deviation ÷ Mean) × 100%
Unimodal / Bimodal / Multimodal analysis
3(Mean – Median) / Standard Deviation
Value (x)
Frequency (f)
Relative %
Cumulative
Empirical Outlier Detection Boundaries
Q₁ – 1.5(IQR) to Q₃ + 1.5(IQR)
Values beyond ±2.0 standard deviations
Identified Outlier Elements
None Detected
All 10 dataset elements fall within normal statistical distribution fences
Minimum Value
12.000
Lower data extreme
Maximum Value
50.000
Upper data extreme
Mean Absolute Deviation (MAD)
9.120
Average absolute distance from mean
Root Mean Square (RMS / Quadratic Mean)
31.000
Square root of mean squares