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A class of 30 students has an average score of 75. If a new student joins and th

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Question: A class of 30 students has an average score of 75. If a new student joins and the average becomes 76, what is the score of the new student?

Options:

  1. 80
  2. 85
  3. 90
  4. 95

Correct Answer: 85

Solution: 

The total score of 30 students is 30 * 75 = 2250. After the new student joins, the total score becomes 31 * 76 = 2356. Therefore, the new student\'s score is 2356 - 2250 = 106.

A class of 30 students has an average score of 75. If a new student joins and th

Practice Questions

Q1
A class of 30 students has an average score of 75. If a new student joins and the average becomes 76, what is the score of the new student?
  1. 80
  2. 85
  3. 90
  4. 95

Questions & Step-by-Step Solutions

A class of 30 students has an average score of 75. If a new student joins and the average becomes 76, what is the score of the new student?
Correct Answer: 106
  • Step 1: Calculate the total score of the original 30 students. Multiply the average score (75) by the number of students (30). So, 30 * 75 = 2250.
  • Step 2: Calculate the new total score after the new student joins. Multiply the new average score (76) by the new total number of students (31). So, 31 * 76 = 2356.
  • Step 3: Find the score of the new student by subtracting the original total score (2250) from the new total score (2356). So, 2356 - 2250 = 106.
  • Average Calculation – Understanding how to calculate the average score and how it changes with the addition of a new data point.
  • Total Score Calculation – Ability to compute the total score from the average and the number of students.
  • Change in Average – Recognizing how the average score is affected by the addition of a new student.
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