## standard deviation

### a typical difference from the average. ex: the mean would be the average score of your students.

Standard deviation is a measure of the variability or dispersion of a set of data points. It is calculated as the square root of the variance of the data, which represents the average of the squared differences between each data point and the mean of the data set.

Standard deviation is often used in statistics to describe the distribution of a set of data, and can provide insight into whether the data is tightly clustered around the mean or spread out more widely. A smaller standard deviation indicates that the data points are closely centered around the mean, while a larger standard deviation indicates that the data points are more spread out.

Standard deviation can also be used to calculate confidence intervals, which represent a range of values within which the true mean of the data is likely to fall. This is useful for making statistical inferences about a population based on a sample of data.

In summary, standard deviation is a statistical measure that is used to quantify the amount of variation or dispersion in a set of data points.

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