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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.
Jul 9, 2021 · Basically, a small standard deviation means that the values in a statistical data set are close to the mean (or average) of the data set, and a large standard deviation means that the values in the data set are farther away from the mean.
- Deborah J. Rumsey
May 18, 2021 · One way to determine if a standard deviation is “low” is to compare it to the mean of the dataset. A coefficient of variation, often abbreviated CV, is a way to measure how spread out values are in a dataset relative to the mean. It is calculated as: CV = s / x. where: s: The standard deviation of dataset; x: The mean of dataset
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.
- Variability is most commonly measured with the following descriptive statistics : Range : the difference between the highest and lowest values Inte...
- The standard deviation is the average amount of variability in your data set. It tells you, on average, how far each score lies from the mean . In...
- In a normal distribution , data are symmetrically distributed with no skew. Most values cluster around a central region, with values tapering off a...
- The empirical rule, or the 68-95-99.7 rule, tells you where most of the values lie in a normal distribution : Around 68% of values are within 1 sta...
- Variance is the average squared deviations from the mean, while standard deviation is the square root of this number. Both measures reflect variabi...
A small standard deviation means that there is some spread in the data, but most of it is still in a fairly tight cluster close to the mean. A low standard deviation means that most data is not spread out very far from the mean.
A large standard deviation indicates that the data points can spread far from the mean and a small standard deviation indicates that they are clustered closely around the mean. For example, each of the three populations {0, 0, 14, 14}, {0, 6, 8, 14} and {6, 6, 8, 8} has a mean of 7.
A small standard deviation indicates that the data points are closely packed around the mean, indicating low variation, while a large standard deviation indicates that the data points are spread out, indicating high variation.
