Find the standard deviation of 4, 9, 11, 12, 17, 5, 8, 12, 14
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The standard deviation measures the spread of the data about the mean value. It is useful in comparing sets of data which may have the same mean but a different range. For example, the mean of the following two is the same: 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30. However, the second is clearly more spread out. If a set has a low standard deviation, the values are not spread out too much.
Just like when working out the mean, the method is different if the data is given to you in groups.
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