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?
Practice Questions
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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?
Remains the same
Increases
Decreases
Cannot be determined
Current total score = 85 × 10 = 850. New total score = 850 + 95 = 945. New average = 945 / 11 = 85.91, which increases the average.
Questions & Step-by-step Solutions
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Q
Q: 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?
Solution: Current total score = 85 × 10 = 850. New total score = 850 + 95 = 945. New average = 945 / 11 = 85.91, which increases the average.
Steps: 4
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.
