Variance Calculator

Uncover the spread of your data with our intuitive variance calculator. Visualize data dispersion and understand its distribution around the mean.

Enter Your Dataset

Provide your data points as comma-separated numbers to calculate the variance. Example: 2, 4, 6, 8, 10

Variance Result

Squared Deviations Visualization

Understanding Variance

Variance measures how spread out numbers are in a dataset. A high variance means data points are far from the average, indicating more variability. Low variance means data points are clustered closely around the average, showing less variability.

In simple terms, it's like checking how much individual values differ from the typical value (mean). It's used in many fields to understand data distribution and risk.

The formula for sample variance (used here) is:

$$s^2 = \frac{\sum_{i=1}^{n}(x_i - \bar{x})^2}{n-1}$$

$x_i$: each data point in the sample.
$\bar{x}$: the average of the data points (sample mean).
$n$: the total number of data points in the sample.

Variance is key in statistics, finance, and data analysis to assess data variability and make informed decisions.

Learn more about variance on Wikipedia.