Understanding the College Admissions Data

The question asks for the percentage of students admitted to the Medical stream out of the total number of students admitted across all the given colleges. We are provided with a table showing the number of students admitted to different streams (Science, Art, Engineering, Medical) in four colleges: College w, College x, College y, and College z. The total seat capacity for each college is also given in brackets, but the question is based on the actual number of students admitted.

To solve this, we need to:

1. Find the total number of students admitted across all streams in all colleges.
2. Find the total number of students admitted specifically to the Medical stream across all colleges.
3. Calculate the percentage of Medical admissions out of the total admissions.

Analysing the Admissions Table Data

Let's list the number of students admitted in each stream for each college based on the provided table data:

Calculating Total Student Admissions

First, let's calculate the total number of students admitted in each college by summing the admissions across all streams for that college:

• College w total admissions = 100 (Science) + 100 (Art) + 50 (Engineering) + 150 (Medical) = 400
• College x total admissions = 150 (Science) + 100 (Art) + 50 (Engineering) + 50 (Medical) = 350
• College y total admissions = 350 (Science) + 300 (Art) + 150 (Engineering) + 50 (Medical) = 850
• College z total admissions = 300 (Science) + 350 (Art) + 150 (Engineering) + 100 (Medical) = 900

Next, we calculate the total number of admissions across all four colleges:

Total Admissions = Total admissions in w + Total admissions in x + Total admissions in y + Total admissions in z

Total Admissions = 400 + 350 + 850 + 900 = 2500

So, the total number of students admitted across all colleges is 2500.

Calculating Total Medical Stream Admissions

Now, let's find the total number of students admitted specifically to the Medical stream across all colleges. We sum the Medical admissions from each college:

Total Medical Admissions = Medical admissions in w + Medical admissions in x + Medical admissions in y + Medical admissions in z

Total Medical Admissions = 150 + 50 + 50 + 100 = 350

So, the total number of students admitted to the Medical stream is 350.

Calculating the Percentage of Medical Admissions

To find the percentage of students admitted to the Medical stream among the total number of admissions, we use the formula:

Percentage = $ \left( \frac{\text{Total Medical Admissions}}{\text{Total Admissions}} \right) \times 100\% $

Substitute the values we calculated:

Percentage = $ \left( \frac{350}{2500} \right) \times 100\% $

Percentage = $ \left( \frac{35}{250} \right) \times 100\% $

Simplify the fraction:

Percentage = $ \left( \frac{7}{50} \right) \times 100\% $

Percentage = $ 7 \times \left( \frac{100}{50} \right) \% $

Percentage = $ 7 \times 2 \% $

Percentage = $ 14\% $

Therefore, the percentage of students admitted to the Medical stream among the total number of admissions across all colleges is 14%.

Revision Table: Key Calculations Summary

Additional Information: Data Interpretation Skills

This question is an example of a data interpretation problem based on a table. To effectively solve such problems, it's important to:

• Read the question carefully to understand exactly what is being asked.
• Identify the relevant data in the table needed for the calculation.
• Perform calculations systematically, step by step.
• Pay attention to whether the question asks for absolute numbers, ratios, percentages, or averages.
• Double-check your calculations to avoid errors.

Data interpretation questions often involve calculating percentages, ratios, averages, or comparing values from tables or charts. Practice with different types of data representations like tables, bar graphs, line graphs, and pie charts is key to improving these skills.