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can i get the official answer for the 3rd part of the question.

The college with the largest improvement in ranking from 2017 to 2018 was MIT, which moved from 8th to 4th place. MIT’s tuition is $53,832. Since there are 10 colleges, the median tuition is the average of the 5th and 6th highest values: Johns Hopkins at $53,740 and MIT at $53,832. Their average is $53,786, which is within $100 of MIT’s tuition. So the statement is True.

Hope it helps.
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in the first part, do I need to calculate the the values to see the answer?
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in the first part, do I need to calculate the the values to see the answer?
Do not jump to calculations right away. What exactly would you calculate? The number of students accepted for all universities? That would mean multiplying the number of applicants by the acceptance rate for each college, which is a complete waste of time.

Instead, reason it out.

Start by sorting by acceptance rate: Stanford has the lowest at 4.3%, with about 47,500 applicants.
Next, sort by number of applicants: MIT has the fewest at about 21,700, with an acceptance rate of 6.7%.

MIT’s applicant pool is more than twice smaller than Stanford’s, while its acceptance rate is not twice higher. So even without doing the math, you can clearly see that MIT would have fewer accepted students than Stanford. There is no need for detailed calculations here.
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How to avoid calculation in the 2nd part where the number varies a lot. In some colleges the fees difference is 6000 while the number of student differ by 1000 so how do we calculate easily? even calculator doesn't allow that complex calculation to verify among 2-3 possible choices
Bunuel

Do not jump to calculations right away. What exactly would you calculate? The number of students accepted for all universities? That would mean multiplying the number of applicants by the acceptance rate for each college, which is a complete waste of time.

Instead, reason it out.

Start by sorting by acceptance rate: Stanford has the lowest at 4.3%, with about 47,500 applicants.
Next, sort by number of applicants: MIT has the fewest at about 21,700, with an acceptance rate of 6.7%.

MIT’s applicant pool is more than twice smaller than Stanford’s, while its acceptance rate is not twice higher. So even without doing the math, you can clearly see that MIT would have fewer accepted students than Stanford. There is no need for detailed calculations here.
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manish8242
How to avoid calculation in the 2nd part where the number varies a lot. In some colleges the fees difference is 6000 while the number of student differ by 1000 so how do we calculate easily? even calculator doesn't allow that complex calculation to verify among 2-3 possible choices


So, again, we don’t need to calculate a lot for the first question either. Sort by undergraduate enrollments from lowest to highest. MIT has the lowest, with approximately 4,500 students. All others have higher, and MIT's tuition is approximately 54,000.

Notice that almost all others have comparable or higher tuition, while simultaneously having much higher undergraduate enrollment, except Princeton. So, except Princeton, all others will for sure have higher income. Basically, we only need to compare MIT and Princeton, and comparing those shows that MIT has the lowest total income.
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