Understanding the Problem: Analyzing Student Marks

The question asks us to analyze the provided table showing the percentage marks obtained by 7 students across 5 different subjects. The maximum marks for each subject is 100, meaning the values in the table are directly the percentage scores.

We need to find out a specific percentage related to students whose average marks exceed 60%.

Let's first look at the data presented in the table:

Calculating Average Marks for Each Student

To find the average marks for each student, we need to sum up their marks in all 5 subjects and divide by the number of subjects, which is 5.

The formula for average marks is:

\( \text{Average Marks} = \frac{\text{Sum of marks in all subjects}}{\text{Number of subjects}} \)

Let's calculate the average for each of the 7 students:

• Student 1: \( (40 + 45 + 55 + 65 + 70) / 5 = 275 / 5 = 55\% \)
• Student 2: \( (60 + 70 + 75 + 65 + 60) / 5 = 330 / 5 = 66\% \)
• Student 3: \( (70 + 74 + 64 + 68 + 72) / 5 = 348 / 5 = 69.6\% \)
• Student 4: \( (50 + 75 + 57 + 65 + 62) / 5 = 309 / 5 = 61.8\% \)
• Student 5: \( (61 + 66 + 72 + 58 + 60) / 5 = 317 / 5 = 63.4\% \)
• Student 6: \( (70 + 65 + 68 + 56 + 78) / 5 = 337 / 5 = 67.4\% \)
• Student 7: \( (65 + 45 + 70 + 52 + 58) / 5 = 290 / 5 = 58\% \)

Here is a summary of the average marks for each student:

• Student 1: 55%
• Student 2: 66%
• Student 3: 69.6%
• Student 4: 61.8%
• Student 5: 63.4%
• Student 6: 67.4%
• Student 7: 58%

Identifying Students with Average Marks > 60%

Now we need to identify the students whose average marks are more than 60%.

• Student 1: 55% (Not > 60%)
• Student 2: 66% ( > 60%)
• Student 3: 69.6% ( > 60%)
• Student 4: 61.8% ( > 60%)
• Student 5: 63.4% ( > 60%)
• Student 6: 67.4% ( > 60%)
• Student 7: 58% (Not > 60%)

The students whose average marks are more than 60% are Student 2, Student 3, Student 4, Student 5, and Student 6.

There are 5 students with average marks greater than 60%.

Calculating the Required Percentage

The question asks for a percentage related to these students. Based on the wording "percentage of students, whose average marks is more than 60%", the most direct interpretation is the percentage of the total number of students who meet this criterion.

Number of students with average > 60% = 5

Total number of students = 7

Percentage of students with average > 60% \( = \frac{\text{Number of students with average > 60%}}{\text{Total number of students}} \times 100 \)

\( = \frac{5}{7} \times 100 \approx 71.428...\% \)

This percentage is approximately 71.43%. However, this value is not among the given options (55, 65.64, 85.7, 63.4).

Given the options, it is possible that the question intends for a different calculation. Let's consider another possible interpretation based on the provided options. One of the options is 65.64.

Let's examine the average marks of the students who scored more than 60%:

Students with average > 60%: 66%, 69.6%, 61.8%, 63.4%, 67.4%.

Let's calculate the average of these average marks:

\( \text{Average of Averages} = \frac{66 + 69.6 + 61.8 + 63.4 + 67.4}{5} \)

\( = \frac{328.2}{5} \)

\( = 65.64\% \)

This value, 65.64%, matches one of the options provided.

Therefore, it appears the question might be asking for the average of the average marks obtained by the students who scored more than 60% overall.

Conclusion on Student Performance Analysis

While the phrasing of the question typically implies finding the percentage of students meeting a condition, the calculation leading to one of the provided options (65.64) is the average of the average marks of the students whose individual average marks are greater than 60%. Following this calculation, we find the value 65.64.

Revision Table: Key Calculations

Students with average > 60%: Student 2, 3, 4, 5, 6. (5 students)

Average of their averages: \( \frac{66 + 69.6 + 61.8 + 63.4 + 67.4}{5} = \frac{328.2}{5} = 65.64 \)

Additional Information: Data Interpretation Tips

Data interpretation questions often involve analyzing tables, charts, or graphs to extract information and perform calculations. Key skills for these questions include:

• Carefully reading the question and understanding exactly what is being asked.
• Extracting relevant data from the source (table, chart, etc.).
• Performing calculations accurately (sums, averages, percentages, ratios, etc.).
• Being mindful of units and what the numbers represent (e.g., raw scores, percentages).
• Considering all options if a calculated value doesn't match, and re-evaluating the question or calculation method if necessary.
• Practice with different types of data representations helps improve speed and accuracy.