Standard Deviation Calculator

Standard Deviation Calculator calculator can be used to calculate the standard deviation of a dataset, which measures the dispersion of data points from the mean.

Input Parameters

Calculation Results

Calculation Formula

Standard Deviation (σ) = √[Σ(xi - μ)² / N]

Where:
σ = Standard Deviation
xi = Each value in the dataset
μ = Mean of the dataset
N = Number of data points

Mean (Average):

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Variance:

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Standard Deviation:

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Standard Deviation Calculator Calculator Usage Guide

Learn how to use the Standard Deviation Calculator and understand its significance in data analysis

How to Use the Calculator

  1. Enter your data values in the text area, separated by commas. For example: 4, 8, 6, 5, 3, 2, 8, 9
  2. Click the "Calculate" button to compute the standard deviation
  3. The calculator will display the mean, variance, and standard deviation of your dataset
  4. Click "Reset" to clear all inputs and results

Understanding Standard Deviation

Standard deviation is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values tend to be close to the mean (also called the expected value) of the set, while a high standard deviation indicates that the values are spread out over a wider range.

When to Use Standard Deviation

  • When you want to understand how spread out your data is
  • For comparing the variability of different datasets
  • In statistical analysis and quality control
  • When assessing risk in financial analysis

Example

For the dataset 4, 8, 6, 5, 3, 2, 8, 9 (which has a mean of 5.625), the standard deviation is approximately 2.46. This means that the values in the dataset typically deviate from the mean by about 2.46 units.