Multiple choice

Soumya and Aarushi wanted to find the average of their marks in five different subjects. Average marks obtained by Aarushi was 5 more than Soumya. Average marks of Soumya was 36 but later on it was discovered that one of the marks was read as 14 instead of 41. What would be the average marks of Aarushi?

  1. 46.4

  2. 41.2

  3. 36.6

  4. 25.4

  5. 22.8
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A Correct answer
Explanation

Soumya's correct sum = (36 * 5) - 14 + 41 = 180 - 14 + 41 = 207. Correct average = 207 / 5 = 41.4. Aarushi's average = 41.4 + 5 = 46.4.

AI explanation

Using the error correction method for averages, the actual total marks for Soumya is 5 times 36 minus 14 plus 41, which equals 207. Dividing 207 by 5 gives a corrected average of 41.4 for Soumya. Since Aarushi's average is 5 marks more than Soumya's average, Aarushi's average is 41.4 plus 5, which equals 46.4.

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