The Analysis of The General Vicinity of City College and Its Student Population

Abstract:

In this experiment to quantify and calculate data. Accurate data is taken from existing archives and are used in calculating values and applying estimates. In this lab report we will use the utilization of Google maps to accurately measure and divide land areas to make proper inferences in supporting the hypothesis and the distribution of funds in a self-sustaining financial system. This will show the area in which the financial system will be in affect and the population of those affected.

Introduction, Purpose and Background:

This experiment and calculations are used to quantify data based on existing archives to fairly distribute funds. According to the proposal, we not only have to calculate and balance the distribution of funds to self sustain this financial system. We also must make calculations in the distribution of funds to fairly benefit the system. Based on the proposal and the hypothesis, some of the populace should be excluded in receiving funds. To do this we will divide the island of Manhattan into equal parts and make inferences of populace based on the accurate data given. After diving the land into equal parts, we will subtract the population residing in a 2-mile radius to the university. This population does not require immediate funding because of their proximity to the university.

The square mileage of dry land in Manhattan is 22.82 mi²

we would have to calculate the area of the land in a 2-mile radius from city college. This becomes tricky, as the width of Manhattan around midtown is around 2 miles. It is exactly 2 miles from city college down to 100^th street. The width of this distance is roughly 2 miles, making it 4 squared miles below city college. Though, the upper 2 miles north of the school has about half the width compared to the rest of the island. We could use the area of a trapezoid to calculate a good estimate of this piece of land. Base 1 would be the width of the upper part of that area (1 mile), base 2 would be the bottom part of the trapezoid (2 miles). The height would be 2 miles. Giving us 3 square miles of area. Three miles north of City College and 4 miles south of city college gives a total of 7 miles. People whole live within these seven miles are excluded from receiving funds and the chip card. This amount will be subtracted from the total land area of Manhattan, giving us 15.82 miles sq. We also need to consider vast uninhabitable land like Central Park and subtract that from the data leaving us with 14.503 miles sq.

Equation 1: Area of a trapezoid, Area = A=((b1+b2) (h)/2).

Equation 2: Area of a circle, Area = A=π(r)(r)

Using these numbers, we can estimate the population per square mile, based on the total square miles. Based on table 10, there are a total of 3,011 students who live in Manhattan. We do not have the exact numbers by neighborhood, so we will equally divide it by the sq mileage of the habitable land 21.503 miles sq, giving us 140 people per sq miles. If we multiply this number by the 7 sq miles of the populace that will be excluded from receiving cards, it gives us the total number of excluded peoples at roughly 980 peoples. Leaving us with only 2,031 eligible students for the borough of Manhattan out of the total 3,011 students.  

Adjusting the exact number for our model to 14,327.

Hypothesis:

            Based on experience, I would approximate that the General vicinity of the north of city college and south of city college would be Approx. 4 miles (North) and 5 miles (South). This is based on familiarity of City College and its area outside City College.

Materials:

• iPhone
• Apple Maps
• Calculator

Procedure:

1. Calculate the area of land 2 miles north of city college using the formula for the area of a trapezoid. (Figure 1)
2. Calculate the area of land 2 miles south of city college using the formula for the area of a rectangle. (Figure 1)
3. Add the total square miles of 1, and two.
4. Use the total number of students from Manhattan (3,011) divided by 21.503 (total sq miles of land) to get the average number of students per square mile (140.02)
5. Multiple 140.02 by the 7 total square miles of excluded students to get the total number of excluded students at 980.
6. Subtract 980 from 3,011 to get 2,031.
7. Add the total number of students from all other boroughs from table 10, to the 2031 students to get 14,327.

Results:

Areas:	Formula Used:	Total:
North	Area = ((b1+b2)(h))/2	3 Square Miles
South	Area = L x W	4 Square Miles

Discussion: Using the Calculations and Formulas shown above, it is then revealed that the General North vicinity of City college is approximately 3 Square Miles, while the South General vicinity of City College is approximately 4 Square Miles. This data can now help us with the students in this general vicinity and how are eligible for these Self-funding Financial systems.   

Conclusion:

After revealing the results, it is clear that my hypothesis was, in fact, wrong, however, it wasn’t too far from the reality. And because of this data, this will help us with the students who will be needing the assistance vs those who aren’t valid for this assistance. With these charts and data, this will be great information to be included in the proposal of installing a ID MetroCard system.