Understanding the 10+2 Examination Data for Schools A-F

The question asks us to find the average number of boys who passed the 10+2 examination in the year 2024 across six different schools (A through F). We are given the total number of passed students and the percentage of girls who passed for each school in 2024.

Calculating Number of Boys Passed in 2024 for Each School

To find the number of boys who passed, we first need to calculate the number of girls who passed using the given percentage and then subtract this from the total number of passed students for each school.

The formula used is:

• Number of Girls Passed = (Percentage of Passed Girls / 100) × Total Number of Passed Students
• Number of Boys Passed = Total Number of Passed Students - Number of Girls Passed

School A (2024)

• Total Passed Students = 550
• Percentage of Passed Girls = 44%
• Number of Girls Passed = $\frac{44}{100} \times 550 = 0.44 \times 550 = 242$
• Number of Boys Passed = $550 - 242 = 308$

School B (2024)

• Total Passed Students = 640
• Percentage of Passed Girls = 40%
• Number of Girls Passed = $\frac{40}{100} \times 640 = 0.40 \times 640 = 256$
• Number of Boys Passed = $640 - 256 = 384$

School C (2024)

• Total Passed Students = 560
• Percentage of Passed Girls = 45%
• Number of Girls Passed = $\frac{45}{100} \times 560 = 0.45 \times 560 = 252$
• Number of Boys Passed = $560 - 252 = 308$

School D (2024)

• Total Passed Students = 800
• Percentage of Passed Girls = 48%
• Number of Girls Passed = $\frac{48}{100} \times 800 = 0.48 \times 800 = 384$
• Number of Boys Passed = $800 - 384 = 416$

School E (2024)

• Total Passed Students = 840
• Percentage of Passed Girls = 55%
• Number of Girls Passed = $\frac{55}{100} \times 840 = 0.55 \times 840 = 462$
• Number of Boys Passed = $840 - 462 = 378$

School F (2024)

• Total Passed Students = 750
• Percentage of Passed Girls = 36%
• Number of Girls Passed = $\frac{36}{100} \times 750 = 0.36 \times 750 = 270$
• Number of Boys Passed = $750 - 270 = 480$

Calculating the Average Number of Boys Passed in 2024

Now, we sum the number of boys who passed from all six schools in 2024 and divide by the number of schools (which is 6) to find the average.

Total Number of Boys Passed (2024)

Total Boys Passed = Boys (A) + Boys (B) + Boys (C) + Boys (D) + Boys (E) + Boys (F)

Total Boys Passed = $308 + 384 + 308 + 416 + 378 + 480 = 2274$

Average Number of Boys Passed (2024)

Average Boys Passed = $\frac{\text{Total Boys Passed}}{\text{Number of Schools}}$

Average Boys Passed = $\frac{2274}{6} = 379$

Therefore, the average number of boys who passed the 10+2 examination in the year 2024 from all six schools is 379.