To calculate "within 3 standard deviations," you need to subtract 3 standard deviations from the mean, then add 3 standard deviations to the mean. That will give you the range for 95% of the data values.įinally, the last part of the empirical rule states that 99.7% of the data values will fall within 3 standard deviations of the mean. To calculate "within 2 standard deviations," you need to subtract 2 standard deviations from the mean, then add 2 standard deviations to the mean. The second part of the empirical rule states that 95% of the data values will fall within 2 standard deviations of the mean. That will give you the range for 68% of the data values. To calculate "within 1 standard deviation," you need to subtract 1 standard deviation from the mean, then add 1 standard deviation to the mean. The first part of the empirical rule states that 68% of the data values will fall within 1 standard deviation of the mean.
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How To Use the Z-Table to Find Area and Z-ScoresĪpproximately 68% of the data values will fall within 1 standard deviation of the mean, from $143$ to $203$.Īpproximately 95% of the data values will fall within 2 standard deviations of the mean, from $113$ to $233$.Īpproximately 99.7% of the data values will fall within 3 standard deviations of the mean, from $ 83$ to $263$.How to Find a Z-Score with the Z-Score Formula.What is a Z-Score? Why We Use Them and What They Mean.Outlier Calculator with Easy Step-by-Step Solution.Standard Deviation Calculator with Step by Step Solution.5 Number Summary Calculator / IQR Calculator.Range, Standard Deviation, and Variance Calculator.
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