← Todas as FerramentasDesvio Padrão
Calcule o desvio padrão e a variância para um conjunto de dados.
While the average (mean) tells you where the center of your data is, the Standard Deviation tells you how spread out the numbers are. In fields like finance, science, and quality control, understanding this 'volatility' or 'dispersion' is just as important as knowing the average. A low standard deviation indicates that the data points tend to be very close to the mean, suggesting consistency. A high standard deviation indicates that the data points are spread out over a wider range, suggesting higher variability or risk. Our calculator provides both the Standard Deviation and the Variance, giving you a complete picture of your data's distribution.
Como funciona
This tool calculates the Mean of your data, then finds the difference between each data point and that Mean. It squares those differences (to ensure they are positive), averages them to find the Variance, and finally takes the square root of that result to provide the Standard Deviation.
Fórmula de cálculo
σ = √(Σ(x - μ)² / n)
Exemplos de cálculo
For the data set [10, 20, 30]:
1. **Mean**: 20
2. **Variance**: ((10-20)² + (20-20)² + (30-20)²) / 3 = **66.67**
3. **Standard Deviation**: √66.67 ≈ **8.16**
Por que usar essa ferramenta no seu dia a dia?
O conhecimento da variância é o conhecimento do risco. Este serviço é essencial para comerciantes, cientistas e engenheiros que precisam compreender as margens de erro e a confiabilidade de seus sistemas.
Dica
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