A class has 30 students. If the average score of the class is 75 and one student

A class has 30 students. If the average score of the class is 75 and one student scores 90, what is the average score of the remaining students?

A class has 30 students. If the average score of the class is 75 and one student scores 90, what is the average score of the remaining students?

Correct Answer: 74

Step 1: Calculate the total score of all 30 students by multiplying the average score by the number of students: 30 * 75.
Step 2: Find the total score of all students, which is 2250.
Step 3: Subtract the score of the one student who scored 90 from the total score: 2250 - 90.
Step 4: Calculate the total score of the remaining 29 students, which is 2160.
Step 5: To find the average score of the remaining 29 students, divide their total score by 29: 2160 / 29.
Step 6: The result of the division is approximately 74.48, which we can round to 74.

Average Calculation – Understanding how to calculate the average score based on total scores and the number of students.
Total Score Derivation – Calculating the total score of a group based on the average and the number of individuals.
Subtraction in Averages – Subtracting an individual score from the total to find the new average for the remaining group.