In a class of 30 students, the average score in mathematics is 75. If 5 students

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Question: In a class of 30 students, the average score in mathematics is 75. If 5 students score 90, what is the new average score?

Options:

Correct Answer: 77

Solution:

Total score = 30 * 75 = 2250. Additional score = 5 * 90 = 450. New total score = 2250 + 450 = 2700. New average = 2700 / 30 = 78.

In a class of 30 students, the average score in mathematics is 75. If 5 students score 90, what is the new average score?

In a class of 30 students, the average score in mathematics is 75. If 5 students score 90, what is the new average score?

Step 1: Calculate the total score of all 30 students using the average score. Multiply the average score (75) by the number of students (30). Total score = 30 * 75 = 2250.
Step 2: Calculate the additional score from the 5 students who scored 90. Multiply the number of students (5) by their score (90). Additional score = 5 * 90 = 450.
Step 3: Add the additional score to the original total score to find the new total score. New total score = 2250 + 450 = 2700.
Step 4: Calculate the new average score by dividing the new total score (2700) by the total number of students (30). New average = 2700 / 30 = 90.

Average Calculation – Understanding how to calculate the average score based on total scores and the number of students.
Total Score Adjustment – Calculating the new total score after adding additional scores from a subset of students.