The median income of a group of College

The median income of a group of College C graduates six months after graduation was $3,000 higher than the median income of a group of College D graduates six months after graduation. Quantity A : The 75th percentile of the incomes of the group of College C graduates six months after graduation Quantity B : The 75th percentile of the incomes of the group of College D graduates six months after graduation Quantity A is greater., Quantity B is greater., The two quantities are equal., The relationship cannot be determined from the information given.

2 Explanations

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Sazidur Rahman Shahriar

Recall that the median of a group of numbers is the middle number (or the average of the two middle numbers) when the numbers are listed from least to greatest. The median is also equal to the 50th percentile. The median does not indicate anything about the spread of the numbers in the group. In particular, for each group of incomes, you do not know how much greater than the median the 75th percentile of the group of incomes is, nor do you know the relationship between the 75th percentiles of the two groups. Since the relationship between Quantity A and Quantity B cannot be determined, the
correct answer is Choice D.

Dec 4, 2020 • Comment

Adam

You got it, that's exactly right!

Dec 8, 2020 • Reply

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Chris Lele