SOLUTION: A set of data is normally distributed with a mean of 60. Covert the data item to a z-score, if the standard deviation is given. Data Item: 73 Standard Deviation: 13

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Question 361417: A set of data is normally distributed with a mean of 60. Covert the data item to a z-score, if the standard deviation is given.
Data Item: 73
Standard Deviation: 13
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Recall that the z-score is z=%28x-mu%29%2F%28sigma%29. In this case x=73 (the data item), the mean is mu=73 and the standard deviation is sigma=13



z=%28x-mu%29%2F%28sigma%29 Start with the given formula.


z=%2873-60%29%2F%2813%29 Plug in x=73, mu=73 and sigma=13


z=%2813%29%2F%2813%29 Subtract


z=1 Divide


So the z score is 1, which means that 73 is one standard deviation away from the mean.