In probability theory and statistics, variance is the expected value of the squared deviation from the mean of a random variable. The standard deviation is obtained as the square root of the variance.

Nov 4, 2025 · Variance is defined as the square of the standard deviation, i.e., taking the square of the standard deviation for any group of data gives us the variance of that data set.

Jan 18, 2023 · The variance reflects the variability of your dataset by taking the average of squared deviations from the mean.

Most of the time in statistics, you’ll want to find the sample variance, not the population variance. Why? Because statistics is usually all about making inferences from samples, not populations. If you had all …

Variance is a measure of variability in statistics. It assesses the average squared difference between data values and the mean. Unlike some other statistical measures of variability, it incorporates all …

Jun 17, 2025 · Variance is a statistical measurement of how large of a spread there is within a data set. It measures how far each number in the set is from the mean (average), and thus from every other …

In statistics, variance is used to comprehend the correlation among numbers within a data collection, rather than employing more elaborate mathematical techniques, such as organizing the data into …

Variance is a statistical measurement that is used to determine the spread of numbers in a data set with respect to the average value or the mean. The standard deviation squared will give us the variance. …

Studying variance allows one to quantify how much variability is in a probability distribution. Probability distributions that have outcomes that vary wildly will have a large variance. Probability experiments …

Jan 2, 2025 · Similar to standard deviation, variance can be analyzed for ungrouped data (individual data points) and grouped data (data organized in intervals with frequencies). There are two types of …