In a group of 60 students, 50% are interested in history, and the rest are interested in geography. If the average score in history is 85, and the average score in geography is 75, what is the average score for the entire group?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 80.
Total number of students = 60
Percentage of students interested in history = 50%
Number of students interested in history = 60 × 0.50 = 30
Number of students interested in geography = 60 - 30 = 30
The average score in history = 85
Total score in history = 85 × 30 = 2550
Average score in geography = 75
Total score in geography = 75 × 30 = 2250
Total score for all students = 2550 + 2250 = 4800
Average score for all students = = 80
Henve the average score for the entire group is 80.