Student Enrollment Analysis

The question asks us to analyze the provided table showing student enrollment data for a college during the 2019-20 session. We are given the total number of students and the total number of girls enrolled across five different streams: IT, Management, Commerce, Science, and Arts. The table provides the percentage distribution of total students and total girls across these streams. We need to determine the new total number of students in the Management stream if a specific condition regarding stream change for girls is applied.

Understanding the Given Data

Let's first look at the data provided in the table:

Total number of students = 3500

Total number of girls enrolled = 1500

Total number of boys enrolled = Total students - Total girls = $3500 - 1500 = 2000$

Initial Enrollment Calculation

Let's calculate the initial number of students and girls in each stream based on the given percentages:

• IT:
  • Number of students: $20\% \text{ of } 3500 = 0.20 \times 3500 = 700$
  • Number of girls: $18\% \text{ of } 1500 = 0.18 \times 1500 = 270$
• Management:
  • Number of students: $16\% \text{ of } 3500 = 0.16 \times 3500 = 560$
  • Number of girls: $12\% \text{ of } 1500 = 0.12 \times 1500 = 180$
• Commerce:
  • Number of students: $12\% \text{ of } 3500 = 0.12 \times 3500 = 420$
  • Number of girls: $21\% \text{ of } 1500 = 0.21 \times 1500 = 315$
• Science:
  • Number of students: $22\% \text{ of } 3500 = 0.22 \times 3500 = 770$
  • Number of girls: $11\% \text{ of } 1500 = 0.11 \times 1500 = 165$
• Arts:
  • Number of students: $30\% \text{ of } 3500 = 0.30 \times 3500 = 1050$
  • Number of girls: $38\% \text{ of } 1500 = 0.38 \times 1500 = 570$

We can summarize the initial numbers in a table:

Calculating the Stream Change

The question states that 20% of the girls enrolled in the Science stream change their stream to Management.

Initial number of girls in Science = 165

Number of girls who change from Science to Management = $20\% \text{ of } 165 = 0.20 \times 165$

Calculation: $0.20 \times 165 = 33$

So, 33 girls move from the Science stream to the Management stream.

Calculating the New Number of Students in Management

We need to find the new total number of students in the Management stream.

Initial number of students in the Management stream = 560

Number of students joining the Management stream (girls from Science) = 33

New number of students in the Management stream = Initial students in Management + Girls changing from Science

New number of students in Management = $560 + 33 = 593$

Therefore, after 20% of the girls from Science change to Management, the new total number of students in the Management stream will be 593.

Revision Table: Key Calculations

Additional Information: Data Interpretation Tips

Data interpretation questions often involve tables or charts and require careful reading and calculation based on the provided data. Here are some tips:

• Always read the question carefully to understand what is being asked.
• Identify the base values for percentages (e.g., percentage of students out of total students, percentage of girls out of total girls).
• Break down the problem into smaller steps, calculating intermediate values as needed.
• Pay attention to the units or categories being referred to (e.g., total students, girls, specific streams).
• Double-check your calculations, especially percentage calculations.
• When there are changes or conditions mentioned, calculate the impact of those changes on the relevant categories.

In this problem, the key was to correctly calculate the initial number of girls in Science and the initial total students in Management, and then apply the stream change condition to find the new total for Management.