Benix Space Easy Calc
BENIX SPACEEasy Calcv1.0
Math

Standard Deviation Calculator

Calculate sample and population standard deviation, variance, and mean with step-by-step variance breakdown.

Advertisement
Formula & Calculation Rule

How It Is Calculated

s = √[ Σ(x - μ)² / (n - 1) ] | σ = √[ Σ(x - μ)² / N ]

Calculate mean μ, find squared deviations from mean, divide by n-1 for sample or N for population, and take square root.

Step-by-Step Example

Dataset: 10, 12, 23, 23, 16, 23, 21, 16

1Mean = 18
2Sum of squared deviations = 192
3Divide by (8-1) = 27.43
4Square root = 5.24
Result: Sample s = 5.24
Comprehensive Guide

Understanding the Standard Deviation Calculator

Standard deviation quantifies the amount of dispersion or variation in a set of values. A low standard deviation indicates that the data points tend to be close to the mean, while a high standard deviation indicates that the data points are spread out over a wider range.

Calculations performed using Benix Space Easy Calc are executed purely within your browser using IEEE 754 floating-point mathematical standards. We never transmit your inputs or figures over network cables, guaranteeing 100% confidential and secure computation.

Advertisement
Common Questions

Frequently Asked Questions

Use sample standard deviation (n-1) when your data represents a sample of a larger population. Use population standard deviation (N) when your dataset contains every member of the entire population.

You Might Also Need