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QUESTION:

The web site www.kiplinger.com published the "Best Values in Public Colleges," saying they were determined by rankings based on data from more than 500 public four-year colleges and universities. Using out-of-state rankings that considered the academic quality, total out-of-state costs, and average costs after financial aid, the 50 best-rated colleges were selected. The boxplot pictured displays the average debt per graduate for these colleges.

A box plot of Student Debt upon Graduation from Top-rated Public colleges. The largest observation that is not an outlier is around 30,000, Q3 is 25,000, the median is 21,000, Q1 is 18,000 and the smallest observation that is not an outlier is 13,000.

What percentage of the graduates will have a debt greater than $25,000?

Question 15

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50% of the debts owed are smaller than what amount?

Question 16

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Within which interval of debts would you expect to find the largest number of colleges?

ANSWER:

What percentage of the graduates will have a debt greater than $25,000?


25%- Good job! Since $25,000 is the third quartile (Q3), one-quarter of the graduates will have a debt greater than this amount.

50% of the debts owed are smaller than what amount?

$20,600- Good job! 50% of the debts are smaller than the median, which according to the boxplot is between $20,000 and $21,000.

Within which interval of debts would you expect to find the largest number of colleges

17,000-21,000- Good job! Since 17,000 is below the first quartile and 21,000 is above the median, more than 25% of the debts are in this interval.

Posted by Cleveland on September 18, 2024
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