A class has 30 students. If the average score of the class is 75 and one student
Practice Questions
Q1
A class has 30 students. If the average score of the class is 75 and one student scored 90, what is the average score of the remaining students?
72
74
76
78
Questions & Step-by-Step Solutions
A class has 30 students. If the average score of the class is 75 and one student scored 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. Total score = 30 students * 75 average score = 2250.
Step 2: Subtract the score of the one student who scored 90 from the total score. Remaining score = 2250 - 90 = 2160.
Step 3: Calculate the average score of the remaining 29 students by dividing the remaining score by the number of remaining students. Average of remaining = 2160 / 29.
Step 4: Perform the division to find the average score of the remaining students, which is approximately 74.48.
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.
