Understanding the Data Table and the Question

The question asks us to calculate the average marks obtained by 6 students specifically in the subjects Physics, Chemistry, and Math. We are given a table showing the marks of these students in six different subjects, along with the maximum marks for each subject.

We are interested in the average marks in Physics, Chemistry, and Math for all 6 students. To find this, we first need to sum the marks for Physics, Chemistry, and Math for each student individually. Then, we find the total sum of these combined marks across all 6 students. Finally, we divide this total sum by the number of students (which is 6) to get the average.

Step-by-Step Calculation of Average Marks

Let's calculate the combined marks for Physics, Chemistry, and Math for each student:

• Student A: $80 + 76 + 68 = 224$
• Student B: $90 + 68 + 72 = 230$
• Student C: $85 + 81 + 75 = 241$
• Student D: $75 + 79 + 58 = 212$
• Student E: $45 + 65 + 62 = 172$
• Student F: $68 + 72 + 68 = 208$

Now, we sum these combined scores for all 6 students:

Total combined marks = $224 + 230 + 241 + 212 + 172 + 208$

Total combined marks = $1287$

To find the average marks of students in Physics, Chemistry, and Math, we divide the total combined marks by the number of students (6):

Average marks = $\frac{\text{Total combined marks}}{\text{Number of students}}$

Average marks = $\frac{1287}{6}$

Let's perform the division:

$1287 \div 6 = 214.5$

So, the average marks of students in Physics, Chemistry, and Math is 214.5.

Result Analysis

The calculated average marks for students in Physics, Chemistry, and Math is 214.5. This value represents the average sum of marks obtained by a student across these three subjects. Looking at the options provided, 214.5 is one of the choices.

Revision Table: Key Concepts

This section summarises the key concepts used in solving this problem.

• Data Table: A structured way to organize data with rows and columns.
• Average: The sum of a set of values divided by the number of values in the set.
• Summation: Adding a series of numbers together.

Additional Information: Understanding Average and Data Analysis

Calculating the average is a fundamental concept in statistics and data analysis. It gives us a single value that represents the central tendency or a typical value within a dataset. In this case, the average of 214.5 tells us the typical total marks a student scored in Physics, Chemistry, and Math combined.

Data tables like the one provided are commonly used to present information clearly. By extracting specific data points (marks in Physics, Chemistry, Math) for specific entities (students), we can perform calculations and gain insights, such as the average performance in certain subjects.

Understanding how to read and interpret data from tables, perform basic arithmetic operations like summation and division, and calculate averages are crucial skills for quantitative analysis.