Multiple choice

The average score of 40 students in a class test is 45. Later on, it was found that at two places 25 was read as 35 and at one place 38 was read as 32. What is the actual average score of the class?

  1. $44.65$
  2. $45.35$
  3. $39.69$
  4. $43.80$
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A Correct answer
Explanation

Two errors: 25 read as 35 (excess +10) twice adds +20 to total. 38 read as 32 (deficit -6) once adds -6 to total. Net excess = +20 - 6 = +14. Correct total = (40 × 45) - 14 = 1800 - 14 = 1786. Actual average = 1786/40 = 44.65.

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