Central Tendency & DispersionMTP Dec 2023 Series IIQuestion 2929 of 473
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There were 50\displaystyle 50 students in a class. 10\displaystyle 10 failed whose average marks were 2.5\displaystyle 2.5. The total marks of class were 281\displaystyle 281. Find the average marks of students who passed?

Options

A6.4\displaystyle 6.4
B25\displaystyle 25
C256\displaystyle 256
D86\displaystyle 86
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Correct Answer

✅ Option a — 6.4\displaystyle 6.4

All Options:

  • A6.4\displaystyle 6.4
  • B25\displaystyle 25
  • C256\displaystyle 256
  • D86\displaystyle 86

Detailed Solution & Explanation

**Step 1: Find the sum of marks of failed students.** Sum of failed=10×2.5=25\text{Sum of failed} = 10 \times 2.5 = 25 **Step 2: Find sum of marks of passed students.** Passed students =50−10=40\displaystyle = 50 - 10 = 40. Sum of passed=281−25=256\text{Sum of passed} = 281 - 25 = 256 **Step 3: Average marks of passed students.** Average of passed=25640=6.4\text{Average of passed} = \frac{256}{40} = 6.4 **Note:** The computed average is **6.4** (Option A), not 25 (Option B). Hence, **Option A** is the correct answer.

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