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

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Question: A class has 30 students. If the average score of the class is 75 and the average score of the top 10 students is 90, what is the average score of the bottom 20 students?

Options:

  1. 60
  2. 70
  3. 75
  4. 80

Correct Answer: 60

Solution:

Total score of 30 students = 30 * 75 = 2250. Total score of top 10 students = 10 * 90 = 900. Total score of bottom 20 students = 2250 - 900 = 1350. Average score of bottom 20 = 1350 / 20 = 67.5.

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

Practice Questions

Q1
A class has 30 students. If the average score of the class is 75 and the average score of the top 10 students is 90, what is the average score of the bottom 20 students?
  1. 60
  2. 70
  3. 75
  4. 80

Questions & Step-by-Step Solutions

A class has 30 students. If the average score of the class is 75 and the average score of the top 10 students is 90, what is the average score of the bottom 20 students?
  • Step 1: Calculate the total score of all 30 students by multiplying the average score by the number of students: 30 * 75 = 2250.
  • Step 2: Calculate the total score of the top 10 students by multiplying their average score by the number of students: 10 * 90 = 900.
  • Step 3: Find the total score of the bottom 20 students by subtracting the total score of the top 10 students from the total score of all 30 students: 2250 - 900 = 1350.
  • Step 4: Calculate the average score of the bottom 20 students by dividing their total score by the number of students: 1350 / 20 = 67.5.
  • Average Calculation – Understanding how to calculate averages and total scores based on given averages.
  • Subtraction of Totals – Using the total scores to find the score of a subset of students by subtraction.
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