SOLUTION: A person scores 81 on a test of verbal ability and 6.4 on a test of quantitative
ability. For the verbal ability test, the mean for people in general is 50 and the
standard devia
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-> SOLUTION: A person scores 81 on a test of verbal ability and 6.4 on a test of quantitative
ability. For the verbal ability test, the mean for people in general is 50 and the
standard devia
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Question 334830: A person scores 81 on a test of verbal ability and 6.4 on a test of quantitative
ability. For the verbal ability test, the mean for people in general is 50 and the
standard deviation is 20. For the quantitative ability test, the mean for people in
general is 0 and the standard deviation is 5. Which is this person’s stronger ability:
verbal or quantitative? Explain your answer to a person who has never had a
course in statistics.
You can put this solution on YOUR website! standardize both test
let =standardized verbal test score =(score-average)/(std dev)
let =standardized quantitative test score =(score-average)/(std de
-- =(81-50)/20=1.55 =(6.4-0)/5=1.28
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since then the verbal is the stronger ability
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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
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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.
