Tom scored 77 out of a possible 100 on his midterm math examination. the distribution of the class had a mean of 68 and a standard deviation of 8.8. peter, who is in a different calculus class, scored 78 out of a possible 100. his class distribution had a mean of 68 and a standard deviation of 16. relative to the performance of their classes, who did better?

Tom did better relative to the performance of their classes.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by

This score how many standard deviations above or below the mean a measure is.

In this problem, whoever has the best Z score between Tom and Peter did better on the test relative to the performance of their classes.

Tom

Scored 77 out of a possible 100 on his midterm math examination. The distribution of the class had a mean of 68 and a standard deviation of 8.8.

So

Peter

Scored 78 out of a possible 100. His class distribution had a mean of 68 and a standard deviation of 16.

So

Tom had the higher Z score, so he did better relative to the performance of their classes.

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step-by-step explanation: