Analyzing Student Enrollment Data

The question asks us to find the total number of boys enrolled in two specific activities: Singing and Handicraft, based on the provided table and total enrollment figures. We are given the total number of students, the total number of girls, and the percentage distribution of students and girls across five different activities.

First, let's list the key information provided:

• Total number of students enrolled = 3000
• Total number of girls enrolled = 1750
• Total number of boys enrolled = Total students - Total girls
• Total number of boys enrolled = $3000 - 1750 = 1250$

The table shows the percentage of total students enrolled in each activity and the percentage of total girls enrolled in each activity.

Calculating Enrollment in Singing and Handicraft

To find the number of boys in Singing and Handicraft, we need to calculate the total number of students and the number of girls in each of these activities separately. The number of boys in an activity is the difference between the total students in that activity and the girls in that activity.

Enrollment in Singing:

• Percentage of total students in Singing = 21%
• Number of students in Singing = $21\%$ of $3000 = \frac{21}{100} \times 3000 = 0.21 \times 3000 = 630$
• Percentage of total girls in Singing = 28%
• Number of girls in Singing = $28\%$ of $1750 = \frac{28}{100} \times 1750 = 0.28 \times 1750 = 490$
• Number of boys in Singing = Total students in Singing - Number of girls in Singing
• Number of boys in Singing = $630 - 490 = 140$

Enrollment in Handicraft:

• Percentage of total students in Handicraft = 25%
• Number of students in Handicraft = $25\%$ of $3000 = \frac{25}{100} \times 3000 = 0.25 \times 3000 = 750$
• Percentage of total girls in Handicraft = 22%
• Number of girls in Handicraft = $22\%$ of $1750 = \frac{22}{100} \times 1750 = 0.22 \times 1750 = 385$
• Number of boys in Handicraft = Total students in Handicraft - Number of girls in Handicraft
• Number of boys in Handicraft = $750 - 385 = 365$

Total Boys in Singing and Handicraft

Now, we add the number of boys enrolled in Singing and the number of boys enrolled in Handicraft to find the total number of boys in these two activities combined.

• Total boys in Singing and Handicraft = Boys in Singing + Boys in Handicraft
• Total boys in Singing and Handicraft = $140 + 365 = 505$

Therefore, a total of 505 boys are enrolled in Singing and Handicraft taken together.

Revision Table: Enrollment Summary

Additional Information: Data Interpretation Tips

Data interpretation questions often involve extracting information from tables, charts, or graphs and performing calculations based on that data. Here are some tips:

• Read Carefully: Understand exactly what the question is asking. Pay attention to the units (percentages, absolute numbers) and the base values (e.g., percentage of total students vs. percentage of total girls).
• Identify Relevant Data: Locate the specific numbers or percentages needed for the calculation. Ignore irrelevant information.
• Break Down the Problem: If the question asks for a combined value (like total boys in two activities), calculate the value for each part separately before adding them together.
• Percentage Calculations: Remember that a percentage is a fraction of 100. To find a percentage of a number, convert the percentage to a decimal or fraction and multiply by the number. For example, $25\%$ of $X = (25/100) \times X = 0.25 \times X$.
• Be Mindful of Bases: Ensure you are using the correct total when calculating percentages. In this problem, student percentages are based on 3000, while girl percentages are based on 1750.