Understanding the Student Enrollment Data

The question provides data about student enrollment across five activities: Swimming, Singing, Drawing, Dancing, and Handicraft. The total number of students is given as 3000, and the total number of girls enrolled is 1750. The table shows the percentage distribution of students (out of 3000) and girls (out of 1750) for each activity.

Calculating the Number of Girls Enrolled in Dancing

The question asks for the percentage of girls enrolled in Dancing relative to the total number of students in the school. First, we need to find the actual number of girls enrolled in Dancing.

According to the table, the percentage of girls enrolled in Dancing is 20% of the total number of girls. The total number of girls is 1750.

Number of girls in Dancing = Percentage of girls in Dancing × Total number of girls

Using the values:

Number of girls in Dancing $= \frac{20}{100} \times 1750$

Number of girls in Dancing $= 0.20 \times 1750$

Number of girls in Dancing $= 350$

So, 350 girls are enrolled in the Dancing activity.

Finding the Percentage of Girls in Dancing Out of Total Students

Next, we need to express the number of girls enrolled in Dancing as a percentage of the total number of students in the school. The total number of students is 3000.

Percentage required $= \left( \frac{\text{Number of girls in Dancing}}{\text{Total number of students}} \right) \times 100\%$

Plugging in the calculated number of girls in Dancing and the total number of students:

Percentage required $= \left( \frac{350}{3000} \right) \times 100\%$

Percentage required $= \left( \frac{350}{30} \right) \%$

Percentage required $= \left( \frac{35}{3} \right) \%$

Percentage required $= 11.666... \%$

Rounding Off the Result

The question asks to round off the result to two digits. Rounding 11.666...% to two decimal places gives 11.67%.

Therefore, the number of girls enrolled in Dancing forms approximately 11.67% of the total number of students in the School.

Revision Table: Key Calculations

Additional Information: Data Interpretation Basics

Data Interpretation questions often involve reading and analyzing data presented in tables, charts, or graphs. Key steps usually include:

• Understanding the Question: Carefully read what is being asked. Note which quantities are involved and what percentage or ratio is required.
• Identifying Relevant Data: Locate the specific numbers or percentages needed from the provided data source (table, chart, etc.).
• Performing Calculations: Use basic arithmetic operations (addition, subtraction, multiplication, division) or percentage calculations as required. Pay attention to the base for percentages (e.g., percentage of total students vs. percentage of total girls).
• Unit Consistency: Ensure you are comparing like quantities or converting them appropriately.
• Rounding: Follow instructions for rounding the final answer.

This question required calculating a part (girls in Dancing) relative to a different total (total students), which is a common type of calculation in data interpretation problems.