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The average score of a class of 30 students is 75. If one student scored 90, wha

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Question: The average score of a class of 30 students is 75. If one student scored 90, what is the average score of the remaining students?

Options:

  1. 74
  2. 75
  3. 76
  4. 77

Correct Answer: 74

Solution:

Total score = 30 * 75 = 2250. New total = 2250 - 90 = 2160. New average = 2160 / 29 = 74.55.

The average score of a class of 30 students is 75. If one student scored 90, wha

Practice Questions

Q1
The average score of a class of 30 students is 75. If one student scored 90, what is the average score of the remaining students?
  1. 74
  2. 75
  3. 76
  4. 77

Questions & Step-by-Step Solutions

The average score of a class of 30 students is 75. If one student scored 90, what is the average score of the remaining students?
  • Step 1: Calculate the total score of all 30 students by multiplying the average score by the number of students. Total score = 30 * 75.
  • Step 2: Subtract the score of the student who scored 90 from the total score. New total = Total score - 90.
  • Step 3: Calculate the new average score for the remaining 29 students by dividing the new total score by 29. New average = New total / 29.
  • Average Calculation – Understanding how to calculate the average score by summing total scores and dividing by the number of students.
  • Impact of Removing a Score – Recognizing how the removal of an individual score affects the overall average of a group.
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