SOLUTION: A set of data items is normally distributed with a mean of 60 and a standard deviation of 8. Convert 36 to a z-score

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Question 142015: A set of data items is normally distributed with a mean of 60 and a standard deviation of 8. Convert 36 to a z-score
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A set of data items is normally distributed with a mean of 60 and a standard deviation of 8. Convert 36 to a z-score.
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It's z-score is the distance a data point is from the mean
of its data set using the standard deviation as a unit for
measurement.
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z(36) = (36-60)/8 = -24/8 = -3
That tells you 36 is 3 standard deviations to the left of the mean.
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Cheers,
Stan H.