Which is relatively better: A score of 95 on my psychology test Or a score of 60

Question

Which is relatively better: A score of 95 on my psychology test Or a score of 60 on an economics test? scores on the psychology test have a mean of 90 and a standard deviation of 10. Scores on the economic test have a mean of 55 and a standard deviation of 5. Please show your work Which is relatively better: A score of 95 on my psychology test Or a score of 60 on an economics test? scores on the psychology test have a mean of 90 and a standard deviation of 10. Scores on the economic test have a mean of 55 and a standard deviation of 5. Please show your work

Explanation / Answer

Solution:

We have to compare the scores based on the Z-scores. The Z-score formula is given as below:

Z = (X – mean) / SD

For psychology

We are given

X = 95, mean = 90, SD = 10

Z = (95 – 90) / 10 = 5/10 = 0.50

Z = 0.50

For economics

We are given

X = 60, mean = 55, SD = 5

Z = (60 – 55) / 5 = 5/5 = 1.00

Z = 1.00

Z-score for economics is greater than Z-scores for psychology.

So, score on economics is relatively better than score on psychology.

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