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A class has 30 students. If the average score of the class is 75 and one student

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Question: A class has 30 students. If the average score of the class is 75 and one student scored 90, what will be the new average if that student is removed?

Options:

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

Correct Answer: 76

Solution: 

Total score = 30 * 75 = 2250. New total = 2250 - 90 = 2160. New average = 2160 / 29 = 74.48, approximately 74.

A class has 30 students. If the average score of the class is 75 and one student

Practice Questions

Q1
A class has 30 students. If the average score of the class is 75 and one student scored 90, what will be the new average if that student is removed?
  1. 74
  2. 75
  3. 76
  4. 77

Questions & Step-by-Step Solutions

A class has 30 students. If the average score of the class is 75 and one student scored 90, what will be the new average if that student is removed?
Correct Answer: 74
  • Step 1: Calculate the total score of the class. Multiply the average score by the number of students: 30 students * 75 average score = 2250 total score.
  • Step 2: Subtract the score of the student who is being removed from the total score: 2250 total score - 90 score of the student = 2160 new total score.
  • Step 3: Calculate the new average score. Since one student is removed, there are now 29 students. Divide the new total score by the new number of students: 2160 new total score / 29 students = approximately 74.48.
  • Step 4: Round the new average score to the nearest whole number: approximately 74.
  • Average Calculation – Understanding how to calculate the average score of a group by summing individual scores and dividing by the number of individuals.
  • Impact of Removing a Score – Analyzing how the removal of an individual score affects the overall average of a group.
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