TATITIC CALCULATOR
Variance Calculator
Calculate the variance of a dataset to understand its dispersion.
What is the Variance Calculator & How does it work?
The variance is a measure of how spread out numbers are in a dataset. It quantifies the average degree to which each number differs from the mean. A high variance indicates that the data points are more spread out, while a low variance suggests that they are closer to the mean.
To calculate the variance, you first find the mean (average) of the dataset. Then, for each data point, subtract the mean and square the result. Finally, average these squared differences.
text{var} = frac{1}{n} sum_{i=1}^{n} (x_i – mu)^2
var = variance, n = number of data points, x_i = individual data point, mu = mean
Parameters
Enter numbers separated by commas:
Frequently Asked Questions
What is variance in statistics?
Variance measures how far each number in the set is from the mean and thus from every other number in the set.
How do I calculate variance manually?
First, find the mean of the dataset. Then, subtract the mean from each data point, square the result, and average those squared differences.
What does a high variance indicate?
A high variance indicates that the data points are more spread out from the mean.
Can variance be negative?
No, variance cannot be negative because it is the average of squared differences, which are always non-negative.
What is the formula for variance?
The formula for variance is (text{var} = frac{1}{n} sum_{i=1}^{n} (x_i – mu)^2), where (x_i) are the data points, (mu) is the mean, and (n) is the number of data points.
When should I use variance?
Use variance when you want to measure the dispersion of a dataset around its mean.
How does variance differ from standard deviation?
Variance measures the average squared difference from the mean, while standard deviation is the square root of variance and provides the average absolute difference from the mean.
Results are for informational purposes only and do not constitute professional advice.