The standard deviation is used in conjunction with the ______ to numerically describe distributions that are bell shaped. the ______ measures the center of the distribution, while the standard deviation measures the ______ of the distribution.
Question: The standard deviation is used in conjunction with the ______ to numerically describe distributions that are bell shaped. the ______ measures the center of the distribution, while the standard deviation measures the ______ of the distribution.
The standard deviation is used in conjunction with the mean to numerically describe distributions that are bell shaped. The mean measures the center of the distribution, while the standard deviation measures the spread of the distribution.
In a bell-shaped distribution, most of the data points are clustered around the mean, and the standard deviation measures how far the data points are spread out from the mean. For example, if the standard deviation is small, then the data points are tightly clustered around the mean, and if the standard deviation is large, then the data points are more spread out from the mean.
The standard deviation is a useful measure of spread because it is not affected by outliers, which are data points that are far away from the rest of the data. For example, if there is one outlier in a data set, the mean will be pulled towards the outlier, but the standard deviation will not be affected.
The mean and standard deviation are two of the most important statistical measures used to describe data. They can be used to compare different data sets, to identify outliers, and to make inferences about the population from which the data was drawn.
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