Multiple choice

The mean score of a group of 18 students on a quiz was 72. After one more student took the same quiz, the mean score of all 19 students became 74. What was the score of this additional student?

  1. 92

  2. 98

  3. 104

  4. 110
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D Correct answer
Explanation

Sum of 18 students = 18 * 72 = 1296. Sum of 19 students = 19 * 74 = 1406. Score of the 19th student = 1406 - 1296 = 110.

AI explanation

The original total score for the 18 students is 18 multiplied by 72, which equals 1296. The new total score for all 19 students is 19 multiplied by 74, which equals 1406. The additional student's score is the difference between the new total and the old total, so 1406 minus 1296 equals 110.

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