A class of 30 students has an average score of 75. If one student scores 90, wha

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Question: A class of 30 students has an average score of 75. If one student scores 90, what will be the new average? (2022)

Options:

Correct Answer: 77

Exam Year: 2022

Solution:

Total score = 75 * 30 = 2250. New total = 2250 - 75 + 90 = 2265. New average = 2265 / 30 = 75.5.

A class of 30 students has an average score of 75. If one student scores 90, what will be the new average? (2022)

A class of 30 students has an average score of 75. If one student scores 90, what will be the new average? (2022)

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.
Step 6: Calculate the new average, which is 75.5.

Average Calculation – Understanding how to calculate the average score by summing total scores and dividing by the number of students.
Impact of Individual Scores – Recognizing how the addition or change of an individual score affects the overall average.