The standard deviation of a random variable, sample, statistical population, data set, or probability distribution is the square root of its variance. (For a finite population, variance is the average of the …

Jun 4, 2025 · What Is Standard Deviation? Standard deviation is a statistical measurement that looks at how far discrete points in a dataset are dispersed from the mean of that set.

The standard deviation (SD) is a single number that summarizes the variability in a dataset. It represents the typical distance between each data point and the mean.

Deviation just means how far from the normal. The Standard Deviation is a measure of how spreadout numbers are.

Jan 2, 2025 · Standard deviation is a statistical measure that shows how much a group of data is spread out or dispersed from its mean value (average). A smaller standard deviation value indicates that the …

Standard deviation (SD) is a measure of the amount of variation in a set of values. A low SD—close to zero—indicates that the values tend to be close to the mean of the set, while a high SD indicates that …

Standard deviation is a statistical measure of variability that indicates the average amount that a set of numbers deviates from their mean. The higher the standard deviation, the more spread out the …

Dec 12, 2025 · standard deviation, in statistics, a measure of the variability (dispersion or spread) of any set of numerical values about their arithmetic mean (average; denoted by μ).

Jul 9, 2021 · The standard deviation measures how concentrated the data are around the mean or average. The data set size and outliers affect this measure.

Oct 13, 2025 · Formally, the standard deviation (σ) is defined as the square root of the variance, where variance is the average of the squared differences from the mean. For a population of size N with …