Question

There are two sections A and B of a class, consisting of 36 and 44 students, respectively. If the average weight of students of section A is 44 kg and those of section B is 39 kg, then the average weight of students of both the sections (in kg) is:

• A. 41.5
• B. 41.25
• C. 40.75
• D. 40.25

Hint:

To find the combined average of two groups, first calculate the total weight of both groups and divide by the total number of students.

Answer 1

The Correct Option is B

The total weight of students in section A is: \[ \text{Total weight of A} = 36 \times 44 = 1584 \, \text{kg} \] The total weight of students in section B is: \[ \text{Total weight of B} = 44 \times 39 = 1716 \, \text{kg} \] The total number of students is: \[ \text{Total students} = 36 + 44 = 80 \] The total weight of all students is: \[ \text{Total weight} = 1584 + 1716 = 3300 \, \text{kg} \] The average weight of all students is: \[ \text{Average weight} = \frac{\text{Total weight}}{\text{Total students}} = \frac{3300}{80} = 41.25 \, \text{kg} \] Thus, the average weight of students in both sections is 41.25 kg.