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A teacher has an average score of 85 in her class. If she adds a new student who

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Question: A teacher has an average score of 85 in her class. If she adds a new student who scores 95, how will the average change if the class size increases from 10 to 11?

Options:

  1. Remains the same
  2. Increases
  3. Decreases
  4. Cannot be determined

Correct Answer: Increases

Solution: 

Current total score = 85 × 10 = 850. New total score = 850 + 95 = 945. New average = 945 / 11 = 85.91, which increases the average.

A teacher has an average score of 85 in her class. If she adds a new student who

Practice Questions

Q1
A teacher has an average score of 85 in her class. If she adds a new student who scores 95, how will the average change if the class size increases from 10 to 11?
  1. Remains the same
  2. Increases
  3. Decreases
  4. Cannot be determined

Questions & Step-by-Step Solutions

A teacher has an average score of 85 in her class. If she adds a new student who scores 95, how will the average change if the class size increases from 10 to 11?
  • Step 1: Calculate the current total score of the class. Multiply the average score (85) by the number of students (10). So, 85 × 10 = 850.
  • Step 2: Add the new student's score (95) to the current total score. So, 850 + 95 = 945.
  • Step 3: Calculate the new average score. Divide the new total score (945) by the new number of students (11). So, 945 ÷ 11 = 85.91.
  • Step 4: Compare the new average (85.91) with the old average (85). Since 85.91 is greater than 85, the average has increased.
  • Average Calculation – Understanding how to calculate the average score by summing total scores and dividing by the number of students.
  • Impact of New Data on Averages – Analyzing how the addition of a new score affects the overall average.
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