Understanding Student Enrollment Data

The question asks for the approximate percentage of boys in the school based on the provided data about student enrollment in different activities.

We are given the total number of students and the total number of girls enrolled in the school. We can use this information to find the total number of boys and then calculate the percentage of boys out of the total students.

Calculating Total Number of Students and Girls

According to the information provided:

• Total number of students enrolled in the school = 3000
• Total number of girls enrolled in various activities = 1750

Determining the Total Number of Boys

The total number of students is the sum of the total number of boys and the total number of girls. Therefore, we can find the total number of boys by subtracting the number of girls from the total number of students.

Total number of boys = Total number of students - Total number of girls

Total number of boys = $3000 - 1750$

Total number of boys = $1250$

So, there are 1250 boys in the school.

Calculating the Percentage of Boys in the School

To find the percentage of boys in the school, we need to divide the total number of boys by the total number of students and multiply by 100.

Percentage of boys = $\left( \frac{\text{Total number of boys}}{\text{Total number of students}} \right) \times 100\%$

Percentage of boys = $\left( \frac{1250}{3000} \right) \times 100\%$

Percentage of boys = $\left( \frac{125}{300} \right) \times 100\%$

Percentage of boys = $\left( \frac{5}{12} \right) \times 100\%$

Now, we calculate the value:

$\frac{5}{12} \times 100\% \approx 0.41666... \times 100\%$

Percentage of boys $\approx 41.67\%$

Approximating the Percentage of Boys

The question asks for the approximate percentage (%) of boys. The calculated percentage is approximately 41.67%. Looking at the options provided:

• 42%
• 28%
• 34%
• 50%

The value 41.67% is closest to 42%.

Conclusion on Boy Percentage Calculation

Based on the total number of students and total number of girls provided, the total number of boys is 1250. This represents approximately 41.67% of the total student population, which is closest to 42%.

Revision Table: Key Calculations

Additional Information: Data Interpretation Basics

Data interpretation questions often require extracting specific information from tables, charts, or passages and performing calculations or comparisons based on that information. In this case, we used basic arithmetic to find a part (number of boys) from the whole (total students) and another part (number of girls), and then calculated a percentage relative to the whole.

Key steps in data interpretation:

• Read the question carefully to understand what is being asked.
• Identify the relevant data in the table or chart.
• Perform the necessary calculations (addition, subtraction, multiplication, division, percentage calculations, ratios, etc.).
• Pay attention to whether the question asks for an exact value or an approximate value.
• Compare your result with the given options.

Understanding percentages is fundamental. A percentage represents a fraction out of 100. To calculate a percentage of a total, you divide the part by the total and multiply by 100.