Calculating Total Students in Class 10 Sections A and B

The question asks for the total number of students in both Section A and Section B combined, based on the provided table showing their exam results.

The table provides the breakdown of students in each section based on their performance in mid-term and final exams:

Finding the Total Number of Students in Section A

To find the total number of students in Section A, we need to sum up the number of students in all result categories for Section A. These categories cover all possible outcomes for each student in Section A (failed both, failed mid-term/passed final, passed mid-term/failed final, passed both).

Total students in Section A = (Failed in both) + (Failed mid-term, passed final) + (Passed mid-term, failed final) + (Passed in both)

Using the numbers from the table for Section A:

Total students in Section A \( = 28 + 14 + 6 + 64 \)

Let's calculate the sum:

\[ 28 + 14 = 42 \]

\[ 42 + 6 = 48 \]

\[ 48 + 64 = 112 \]

So, the total number of students in Section A is 112.

Finding the Total Number of Students in Section B

Similarly, to find the total number of students in Section B, we sum up the number of students in all result categories for Section B.

Total students in Section B = (Failed in both) + (Failed mid-term, passed final) + (Passed mid-term, failed final) + (Passed in both)

Using the numbers from the table for Section B:

Total students in Section B \( = 23 + 12 + 17 + 55 \)

Let's calculate the sum:

\[ 23 + 12 = 35 \]

\[ 35 + 17 = 52 \]

\[ 52 + 55 = 107 \]

So, the total number of students in Section B is 107.

Calculating the Grand Total Students in Both Sections A and B

The question asks for the total number of students in both Section A and Section B. To find this, we add the total number of students from Section A to the total number of students from Section B.

Grand Total \( = \text{Total students in Section A} + \text{Total students in Section B} \)

Using the totals we calculated:

Grand Total \( = 112 + 107 \)

\[ 112 + 107 = 219 \]

Therefore, the total number of students in both Section A and Section B is 219.

Revision Table: Class 10 Student Data Summary

Here is a summary of the total students in each section and the combined total:

Additional Information: Understanding Data Interpretation Tables

Data interpretation questions often involve extracting specific information from tables or charts and performing calculations based on that data. In this type of table, each row represents a category of results, and each column represents a different section or group of students.

• To find the total for a specific section, you sum up the numbers in the column corresponding to that section.
• Each row represents a mutually exclusive category of results; students in one category cannot be in another (e.g., a student who failed both exams cannot also be a student who passed both). Therefore, summing the categories gives the total for that section.
• To find the total across different sections, you can sum the totals of individual sections or sum the corresponding category numbers across the desired sections. In this case, summing the totals of Section A and Section B gives the grand total.

Reading the table carefully and understanding what each number represents is key to solving such data interpretation problems accurately.