for the verbal ability test the mean for people in general is that he and the st

Question

for the verbal ability test the mean for people in general is that he and the standard deviation is 20. For the quantitative ability past, the mean for people in general is 0 and the standard deviation is 5. Which is the person's comparability: verbal or quantitive? Explain your answer to a person who has never had a course in mathematics.

Explanation / Answer

standardize both test let Zv=standardized verbal test score =(score-average)/(std dev) let Zq=standardized quantitative test score =(score-average)/(std de -- Zv=(81-50)/20=1.55 Zq=(6.4-0)/5=1.28 -- since Zv > Zq then the verbal is the stronger ability -- explanation: Since each type of test comes from distribution of different averages and different variations (or consistencies), it is unclear by just looking at the scores the stronger ability. By standardizing both location and consistency, the scores are put on equal footing or similar conditions, thus making comparisons easier -- The standardized score represents the number of standard deviations from the mean, so the standardized score for the verbal is further from the mean, after adjusting for the variation than the quantitative score, thus it is the stronger ability based on this standardized score.

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