Question 557949
score is 81 on verbal and 6.4 on quantitative.
mean for verbal is 50 and standard deviation is 20.
mean for quantitative ability is 0 and standard deviation is 5.
strongest would be how the person does relative to the other people.
when the mean is 50 and the standard deviation is 20, then a score of 81 would be equal to (81-50)/20 = 1.55 standard deviations above the mean.
when the mean is 0 and the standard deviation is 5, then a score of 64 would be equal to (6.4-0)/5 = 1.28 standard deviations above the mean.
this person's stronger ability is verbal.
what i calculated was the person's z-score for each of the tests.
the higher the z-score, the more people have a score less than that and the less people have a score greater than that.
if your were able to look up the z-score in a table, you would find that:
with a z-score of 1.55, 94% of the people taking the test would have scores less than that and only 6% would have scores greater than that.
with a z-score of 1.28, 90% of the people taking the test would have scores less than that and only 10% would have scores greater than that.
he did good in both tests, but he scored better than the general population in the test of verbal ability.