Question
Download Solution PDFThe average score in the Mathematics exam of a class of 60 students is 52. A group of 8 boys with an average score of 40 left the class and another group of 10 boys with an average score of 43 joined the class. What is the new average score of the class? (correct to one decimal place)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Average score of 60 students = 52
Number of students in the class initially = 60
Average score of 8 boys who left = 40
Average score of 10 boys who joined = 43
Formula used:
New average =
Calculation:
Sum of scores of 60 students = 60 × 52 = 3120
Sum of scores of 8 boys who left = 8 × 40 = 320
Sum of scores of 10 boys who joined = 10 × 43 = 430
Total sum of scores after changes = 3120 - 320 + 430 = 3230
Total number of students after changes = 60 - 8 + 10 = 62
New average =
⇒ New average = 52.1
∴ The correct answer is option (2).
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