A class of 30 students has an average score of 75. If one student scores 90, what will be the new average? (2022)
Practice Questions
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Q1
A class of 30 students has an average score of 75. If one student scores 90, what will be the new average? (2022)
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Total score = 75 * 30 = 2250. New total = 2250 - 75 + 90 = 2265. New average = 2265 / 30 = 75.5.
Questions & Step-by-step Solutions
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Q
Q: A class of 30 students has an average score of 75. If one student scores 90, what will be the new average? (2022)
Solution: Total score = 75 * 30 = 2250. New total = 2250 - 75 + 90 = 2265. New average = 2265 / 30 = 75.5.
Steps: 6
Step 1: Calculate the total score of the class. Multiply the average score (75) by the number of students (30). Total score = 75 * 30.
Step 2: Find the total score, which is 2250.
Step 3: One student scored 90, so we need to adjust the total score. Subtract the average score of one student (75) from the total score (2250) and add the new score (90). New total score = 2250 - 75 + 90.
Step 4: Calculate the new total score, which is 2265.
Step 5: To find the new average, divide the new total score (2265) by the number of students (30). New average = 2265 / 30.