Calculating Average Arts Students Admitted

The question asks for the average number of Arts students admitted to each of the given colleges based on the provided table. To find the average, we need to sum the number of Arts students from all colleges and then divide by the total number of colleges.

Step-by-Step Calculation of Average Arts Students

Let's extract the number of Arts students from each college:

• Collegew: 100 Arts students
• Collegex: 100 Arts students
• Collegey: 300 Arts students
• Collegez: 350 Arts students

Next, we find the total number of Arts students admitted across all colleges:

Total Arts Students = Arts students in Collegew + Arts students in Collegex + Arts students in Collegey + Arts students in Collegez

Total Arts Students = $100 + 100 + 300 + 350 = 850$

There are 4 colleges listed in the table (Collegew, Collegex, Collegey, Collegez).

Now, we calculate the average number of Arts students admitted per college using the formula:

Average = $\frac{\text{Total number of Arts students}}{\text{Number of colleges}}$

Average = $\frac{850}{4}$

Let's perform the division:

$850 \div 4 = 212.5$

The average number of Arts students admitted to each college is 212.5.

Comparing Average with Options

We need to find the option that is approximately equal to 212.5:

• Option 1: $\sim$214
• Option 2: $\sim$212
• Option 3: $\sim$215
• Option 4: $\sim$217

The value 212.5 is closest to 212.

Therefore, the average number of Arts students admitted to each college is approximately 212.

Revision Table: Data Interpretation Basics

Additional Information: Analyzing College Admissions Data

Analyzing data tables, like the one showing college admissions, is a common skill tested in many exams. These tables provide a snapshot of information which can be used to answer various questions about trends, totals, averages, percentages, ratios, and comparisons between different categories (colleges, streams, years, etc.).

• Understanding Rows and Columns: In this table, rows represent the colleges, and columns represent the different streams and total seats. Each cell contains the specific data value at the intersection of a row and a column.
• Total Seats vs. Admitted Students: Note that the table provides 'Total Seats' for each college, but the question specifically asks about the 'number of students admitted' to different streams. The total seats information was not needed to answer this specific question about the average number of Arts students admitted.
• Types of Questions: Data interpretation from tables can involve questions asking for:
  • Total values (e.g., total Science students across all colleges).
  • Average values (like the question asked).
  • Percentages (e.g., percentage of Arts students out of total students in a college, or percentage of seats filled).
  • Ratios (e.g., ratio of Arts to Science students in a college).
  • Differences (e.g., difference in Engineering students between two colleges).
• Accuracy vs. Approximation: Pay close attention to whether the question asks for an exact value or an approximation ($\sim$). This determines how you should interpret your final calculated number in relation to the given options.