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

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

Solution: New total = (75 * 30 + 90) / 31 = (2250 + 90) / 31 = 2340 / 31 = 76.5.

Steps: 4

Step 1: Calculate the total score of the original 30 students. Multiply the average score (75) by the number of students (30). This gives you 75 * 30 = 2250.
Step 2: Add the new student's score (90) to the total score. So, 2250 + 90 = 2340.
Step 3: Now, count the total number of students after adding the new student. The original 30 students plus 1 new student equals 31 students.
Step 4: To find the new average score, divide the new total score (2340) by the new number of students (31). So, 2340 / 31 = 76.5.