2nd October 2019

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# What does it mean when the standard deviation is lower than the mean?

A sample's standard deviation that is of greater magnitude than its mean can indicate different things depending on the data you're examining. A smaller standard deviation indicates that more of the data is clustered about the mean. A larger one indicates the data are more spread out.

People also ask, what does mean and standard deviation mean?

A low standard deviation indicates that the data points tend to be close to the mean (also called the expected value) of the set, while a high standard deviation indicates that the data points are spread out over a wider range of values.

What does the mean tell you?

In statistics, that single value is called the central tendency and mean, median and mode are all ways to describe it. To find the mean, add up the values in the data set and then divide by the number of values that you added. To find the mode, identify which value in the data set occurs most often.

What does variance and standard deviation tell you?

The variance and the closely-related standard deviation are measures of how spread out a distribution is. In other words, they are measures of variability. The variance is computed as the average squared deviation of each number from its mean. (where M is the mean of the sample) can be used.