Statistics & Std Dev Calculator

Compute mean, median, mode, variance, standard deviation, quartiles, and distribution charts.

Dataset Input

Numbers (comma, space, or newline separated)

Sorted Dataset (Ascending, n = 18)
42, 62, 68, 72, 76, 77, 79, 81, 84, 84, 84, 85, 87, 88, 90, 91, 95, 98

Visual Summary

Distribution Histogram & Box-Plot

Box-Plot & Quartile Spread (1.5×IQR Outlier Rule) Min: 42Median: 84Max: 98
Frequency Histogram (5 bins) 142–53.2153.2–64.4264.4–75.6875.6–86.8686.8–98

Descriptive Statistics

Central Tendency, Dispersion & Quartiles

18 Count (n)
1,443 Sum (Σx)
80.1667 Mean (Average μ)
84 Median (Q2)
84 (×3) Mode(s)
42 / 98 Min / Max
56 Range (Max − Min)
78.9001 Geometric Mean
77.3031 Harmonic Mean
76 / 88 Quartiles Q1 (25%) / Q3 (75%)
12 Interquartile Range (IQR)
13.192 Sample Std Dev (s)
174.0294 Sample Variance (s²)
12.8203 Population Std Dev (σ)
164.3611 Population Variance (σ²)
3.1094 Standard Error of Mean (SEM)
Outliers (1.5 × IQR Fence: [58, 106])

Detected 1 outlier: 42

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