SuperCalX

Dispersion Calculator

Calculate measures of dispersion including Range, Variance, and Standard Deviation.
Calculator
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Analysis
Interpretation of the current calculator output

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How to Use

Step-by-step instructions
  1. 1Enter your dataset separated by commas or spaces.
  2. 2The calculator will compute various measures of dispersion.

Measures of Dispersion

Dispersion measures how spread out a dataset is. Common measures include range, variance, and standard deviation.
Range = Max - Min, Variance = Sum(x - xBar)^2 / (n-1)

Variables:

RangeDifference between largest and smallest value
s^2Variance

Example

Sample Data

Inputs:

Data:10, 20, 30, 40, 50

Steps:

  1. 1.Range: 50 - 10 = 40
  2. 2.Mean: 30
  3. 3.Variance: 250
  4. 4.Std Dev: ~15.81
Result:
Range: 40, Std Dev: 15.81

Frequently Asked Questions

What is the difference between variance and standard deviation?

Standard deviation is the square root of variance. It is expressed in the same units as the original data, making it more interpretable.