Class 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.

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SSC Selection Post 2024 (Higher Secondary Level) Official Paper (Held On: 25 Jun, 2024 Shift 2)
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  1. 25
  2. 24.75
  3. 28.50
  4. 30

Answer (Detailed Solution Below)

Option 2 : 24.75
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Given:

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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