Question
Download Solution PDFClass X has 45 students scoring average marks of 30 and class Y has 35 students scoring average marks of 18. Find the average marks of the students of both classes together.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Class X has 45 students scoring average marks of 30
Class Y has 35 students scoring average marks of 18
Formula used:
Combined Average Marks = \(\dfrac{\text{Total Marks of Class X} + \text{Total Marks of Class Y}}{\text{Total Students of Class X} + \text{Total Students of Class Y}}\)
Calculation:
Total Marks of Class X = 45 × 30 = 1350
Total Marks of Class Y = 35 × 18 = 630
Total Students = 45 + 35 = 80
⇒ Combined Average Marks = \(\dfrac{1350 + 630}{80}\)
⇒ Combined Average Marks = \(\dfrac{1980}{80}\)
⇒ Combined Average Marks = 24.75
∴ The correct answer is option 2.
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