Which is relatively better: a score of 82 on a psychology test or a score of 35

Question

Which is relatively better: a score of 82 on a psychology test or a score of 35 on an economics test? Scores on the psychology test have a mean of 88 and a standard deviation of 7. Scores on the economics test have a mean of 45 and a standard deviation of 4. Choose the correct answer below. A. The psychology test score is relatively better because its z score is greater than the z score for the economics test score. B. The psychology test score is relatively better because its z score is less than the z score for the economics test score. C. The economics test score is relatively better because its z score is greater than the z score for the psychology test score. D. The economics test score is relatively better because its z score is less than the z score for the psychology test score.

Explanation / Answer

Scores on psycology test have a mean of 88 and a standard deviation of 7.

And scores on the economics test have a mean of 45 and standard eviation of 4.

Z scores are standardized scores that compare the distance between the data point and the mean with the standard deviation.

Next we have to find Z score for psycology test score of 82

                                Z =(x -mean)/Standard deviation

                               Z =( 82-88)/7 = -0.857

Z score for Economics test score of 35

                                Z =(x -mean)/Standard deviation

                               Z =( 35 - 45)/4 =   -2.5

Here both Z scores are negative , so, which is smaller values of Z , that is better Z score .

So, Option D is correct . The economics score is relatively better because its Z score is less than Z score for psychology test scores . .

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