1.

A school has 4 sections of Physics in Class XI having 45, 30, 50 and 52 students. The mean marks obtained in Physics test are 60, 75, 55 and 80 respectively for the 4 sections. Determine the overall approximate average of marks per student1). 55.252). 67.003). 65.754). 70.00

Answer»

We know,

Average of quantities =sum of all quantities/no. of quantities

The SCHOOL has 4 sections of Physics in Class XI having 45, 30, 50 and 52 students.

The mean marks obtained in Physics test are 60, 75, 55 and 80 RESPECTIVELY for the 4 sections.

The TOTAL marks of 45 students in Physics in 1st section = 45 × 60 = 2700

The total marks of 30 students in Physics in 2nd section = 30 × 75 = 2250

The total marks of 50 students in Physics in 3rd section = 50 × 55 = 2750

The total marks of 52 students in Physics in 4th section = 52 × 80 = 4160

Total number of students = 45 + 30 + 50 + 52 = 177

Total marks of 177 students in Physics = 2700 + 2250 + 2750 + 4160 = 11860

∴ The overall average of marks per student = 11860/177 = 67.00


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