Variance
Statistical Variance
The average of squared deviations from the mean, measuring how far data points spread from the average.
Chi tiết kỹ thuật
Descriptive variance summarize datasets: mean (average, sensitive to outliers), median (middle value, robust to outliers), and mode (most frequent). Standard deviation measures dispersion — in a normal distribution, 68% of values fall within ±1σ, 95% within ±2σ, and 99.7% within ±3σ. For skewed distributions (income, website traffic), median is more representative than mean. The coefficient of variation (σ/μ) normalizes dispersion for comparing datasets with different scales.
Ví dụ
``` Dataset: [3, 7, 7, 2, 9, 1, 6] Mean: (3+7+7+2+9+1+6) / 7 = 5.0 Median: Sort → [1,2,3,6,7,7,9] → 6 (middle value) Mode: 7 (most frequent) Std Dev: σ ≈ 2.83 Variance: σ² = 8.0 ```
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