Study the following table and answer the question that follows. A school has four sections A, B, C and D of Class IX students. The results of Science and Mathematics examinations are shown in the following table. RESULT No. of Students Section A Section B Section C Section D Failed in both 24 25 18 20 Failed in Science but passed in Mathematics 14 12 10 15 Passed in Science but failed in Mathematics 7 6 8 10 Passed in both 63 60 56 55
What percentage of students of section C Passed in Science but failed in Mathematics?
8.70%
Calculating Percentage of Students in Section C Exam Results
The question asks for the percentage of students in Section C who passed in Science but failed in Mathematics based on the provided table showing the results of Science and Mathematics examinations for Class IX students across four sections (A, B, C, and D).
Analyzing the Data for Section C
Let's extract the relevant data for Section C from the table:
- Failed in both Science and Mathematics: 18 students
- Failed in Science but passed in Mathematics: 10 students
- Passed in Science but failed in Mathematics: 8 students
- Passed in both Science and Mathematics: 56 students
The total number of students in Section C is the sum of students in all these categories.
Total students in Section C = (Failed in both) + (Failed in Science but passed in Maths) + (Passed in Science but failed in Maths) + (Passed in both)
\( \text{Total students in Section C} = 18 + 10 + 8 + 56 \)
\( \text{Total students in Section C} = 92 \)
We need to find the percentage of students who Passed in Science but failed in Mathematics in Section C. From the data extracted, the number of students in Section C who Passed in Science but failed in Mathematics is 8.
Calculating the Required Percentage
The percentage is calculated using the formula:
\( \text{Percentage} = \left( \frac{\text{Number of students who Passed in Science but failed in Mathematics}}{\text{Total number of students in Section C}} \right) \times 100 \)
Substituting the values for Section C:
\( \text{Percentage for Section C} = \left( \frac{8}{92} \right) \times 100 \)
\( \text{Percentage for Section C} \approx 0.0869565 \times 100 \)
\( \text{Percentage for Section C} \approx 8.69565 \% \)
Rounding the percentage to two decimal places gives 8.70%.
Final Answer Derivation
The percentage of students of Section C who Passed in Science but failed in Mathematics is approximately 8.70%.
| Section | Failed in both | Failed in Science but passed in Maths | Passed in Science but failed in Maths | Passed in both | Total Students |
|---|---|---|---|---|---|
| A | 24 | 14 | 7 | 63 | 108 |
| B | 25 | 12 | 6 | 60 | 103 |
| C | 18 | 10 | 8 | 56 | 92 |
| D | 20 | 15 | 10 | 55 | 100 |
Based on the calculations, 8.70% of students in Section C passed in Science but failed in Mathematics.
Revision Table: Key Concepts in Percentage Calculation
| Concept | Description | Formula |
|---|---|---|
| Percentage | A way to express a number as a fraction of 100. | \( \frac{\text{Part}}{\text{Whole}} \times 100 \) |
| Total/Whole | The entire amount or number in a set. | Sum of all parts |
| Part | A specific portion or number within the whole. | Specific category count |
Additional Information: Analyzing Exam Results Data
Exam result tables like this provide valuable insights into student performance. We can use the data to calculate various percentages, such as:
- Percentage of students who passed in a specific subject (e.g., Science).
- Percentage of students who failed in a specific subject (e.g., Mathematics).
- Percentage of students who passed both subjects.
- Percentage of students who failed at least one subject.
To find the percentage of students who passed in Science in Section C, for example, you would add the number of students who Passed in Science but failed in Maths (8) and those who Passed in both (56), and divide by the total students in Section C (92), then multiply by 100.
\( \text{Passed in Science (Section C)} = \frac{8 + 56}{92} \times 100 = \frac{64}{92} \times 100 \approx 69.57\% \)
Understanding how to read and interpret data from tables is a fundamental skill in data analysis and statistics.
Similar Questions
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2015-2016
2016-0217
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Find the difference between the total number of patients recovered from Covid-19 in all months in Punjab and the total number of patients recovered from Covid-19 in all months in Rajasthan.
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