Understanding Exam Pass Rates: 2019 Analysis
This solution explains how to calculate the total number of students who passed the examination in the year 2019, given the total number of boys and girls who appeared and specific percentage data from the provided table.
Data Interpretation for 2019
The question provides the following information for the year 2019:
- Total number of boys appeared = 800
- Total number of girls appeared = 800
- Percentage of girls who passed = 42%
- Percentage of boys who failed = 60%
Calculating Number of Girls Passed
To find the number of girls who passed, we apply the given percentage to the total number of girls who appeared:
Number of Girls Passed = Percentage of Girls Passed $\times$ Total Girls Appeared
Number of Girls Passed = 42% of 800
Number of Girls Passed = $\frac{42}{100} \times 800$
Number of Girls Passed = $42 \times 8$
Number of Girls Passed = 336
Calculating Number of Boys Passed
First, we need to determine the percentage of boys who passed. Since the table gives the percentage of boys who failed, we can find the pass percentage by subtracting the fail percentage from 100%:
Percentage of Boys Passed = 100% - Percentage of Boys Failed
Percentage of Boys Passed = 100% - 60%
Percentage of Boys Passed = 40%
Now, we calculate the number of boys who passed:
Number of Boys Passed = Percentage of Boys Passed $\times$ Total Boys Appeared
Number of Boys Passed = 40% of 800
Number of Boys Passed = $\frac{40}{100} \times 800$
Number of Boys Passed = $40 \times 8$
Number of Boys Passed = 320
Calculating Total Passed Students
The final step is to sum the number of girls who passed and the number of boys who passed:
Total Passed Students = Number of Girls Passed + Number of Boys Passed
Total Passed Students = 336 + 320
Total Passed Students = 656
Conclusion
Therefore, the sum of the total number of boys and girls who passed the examination in the year 2019 is 656.
