# Convert the following data to z scores to determine who scored above, below, and at the mean in this sample: 18, 12, 17, 8, 23, 7, 10, 10, 12, 25, 19, 14, 14, 14, 9, 17, 21, 7, 11, 8, 8, 12, 8, 20, 16, 14, 14, 18, 5, 19, 20, 25, 14, 14, 15, 11, 19, 8, 10, 14

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Convert the following data to z scores to determine who scored above, below, and at the mean in this sample:

18, 12, 17, 8, 23, 7, 10, 10, 12, 25, 19, 14, 14, 14, 9, 17, 21, 7, 11, 8, 8, 12, 8, 20, 16, 14, 14, 18, 5, 19, 20, 25, 14, 14, 15, 11, 19, 8, 10, 14

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Step 1

The mean of the sample is obtained below:

From the given information, 40 observations of samples were given.

The sample mean is,

Step 2

The sample standard deviation is obtained below:

Step 3

The z-scores are obtained below:

...

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