A class has 30 students with an average score of 75. If one student scores 90, w
Practice Questions
Q1
A class has 30 students with an average score of 75. If one student scores 90, what will be the new average?
75.5
76
76.5
77
Questions & Step-by-Step Solutions
A class has 30 students with an average score of 75. If one student scores 90, what will be the new average?
Correct Answer: 76.5
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.
Average Calculation – Understanding how to calculate the average score by adjusting the total score based on the number of students.
Impact of Outliers – Recognizing how a single high score can affect the overall average of a group.
