Multiple choice

In a 100-marks test, the average of marks scored by 50 students was found to be 65. Later, it was discovered that a score of 88 was misread as 68. Find the correct average.

  1. 65.60

  2. 65.40

  3. 65.70

  4. 65.50

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B Correct answer
Explanation

Original sum = 50 * 65 = 3250. Correct sum = 3250 - 68 + 88 = 3270. Correct average = 3270 / 50 = 65.40.

AI explanation

Using the correct sum method, the correct total is found by adding the difference between the correct score and the incorrect score to the original total. The original total was 50 multiplied by 65, equaling 3250, and adding the 20 point difference between 88 and 68 gives a correct total of 3270. Dividing this correct total by 50 students gives the correct average of 65.40.