functions
Standard Deviation
Calculate high-precision statistical metrics including mean, variance, and distribution analysis.
Std Deviation
9.8722
Mean (μ)
27.20
Variance
97.46
Count (n)
20
Median
28
Range
33
Min / Max
12 / 45
Std Error
2.2075
bar_chartFrequency Distribution
list_altStep-by-Step Calculation
1
Find the Mean (μ)
Add all data points and divide by the total count.
μ = Σx / n
2
Calculate Deviations
Subtract the mean from each individual data point.
(x - μ)
3
Square the Deviations
Multiply each deviation by itself to eliminate negatives.
(x - μ)²
4
Calculate Variance (σ²)
Find the average of squared deviations.
σ² = Σ(x-μ)² / n
5
Final Standard Deviation
Take the square root of the variance result.
σ = √σ²
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