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- DictionaryStand·ard de·vi·a·tion/ˈstandərd ˌdēvēˈāSHən/
noun
- 1. a quantity calculated to indicate the extent of deviation for a group as a whole.
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Sep 17, 2020 · The standard deviation is the average amount of variability in your dataset. It tells you, on average, how far each value lies from the mean. A high standard deviation means that values are generally far from the mean, while a low standard deviation indicates that values are clustered close to the mean.
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. Smaller values indicate that the data points cluster closer to the mean—the values in the dataset are relatively consistent.
Standard deviation may be abbreviated SD, and is most commonly represented in mathematical texts and equations by the lowercase Greek letter σ (sigma), for the population standard deviation, or the Latin letter s, for the sample standard deviation.
Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists. The standard deviation indicates a “typical” deviation from the mean. It is a popular measure of variability because it returns to the original units of measure of the data set.
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 values, while a lower standard deviation indicates that the values tend to be close to the mean.
Overview of how to calculate standard deviation. The formula for standard deviation (SD) is. SD = ∑ | x − μ | 2 N. where ∑ means "sum of", x is a value in the data set, μ is the mean of the data set, and N is the number of data points in the population.
Jun 21, 2024 · 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). It is specifically defined as the positive square root of the variance (σ2); in symbols, σ2 = Σ (xi − μ)2/n, where Σ is a compact.
The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma) The formula is easy: it is the square root of the Variance.
Introduction to standard deviation. Standard deviation measures the spread of a data distribution. The more spread out a data distribution is, the greater its standard deviation. For example, the blue distribution on bottom has a greater standard deviation (SD) than the green distribution on top: 0 1 2 3 4 5 6 7 8 9 10 SD = 1.59 SD = 2.79.
by Marco Taboga, PhD. Standard deviation is a measure of how much the realizations of a random variable are dispersed around its mean. It is equal to the square root of variance.
