# Z score and T score calculation

On a test whose distribution is approximately normal with a mean of 50 and a standard deviation of 10, the results for three students were reported as follows:

Student Opie has a T-score of 60.

Student Paul has a z-score of -1.00.

Student Quincy has a z-score of +2.00.

Obtain the z-score and T-score for EACH student. Show your calculations. Who did better on the test? How many standard deviation units is each score from the mean? Compare the results of the three students.

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#### Solution Preview

T-scores and z-scores

I need examples on how to perform this formula. Any help would be appreciated.

I know part of the formula is z= x-m/SD is this correct?

On a test whose distribution is approximately normal with a mean of 50 and a standard deviation of 10, the results for three students were reported ...

#### Solution Summary

The solution provides step by step method for the calculation of Z score and t score . Formula for the calculation and Interpretations of the results are also included.