A class has 30 students with an average score of 75. If a new student joins and

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Question: A class has 30 students with an average score of 75. If a new student joins and the average becomes 76, what is the score of the new student? (2023)

Options:

Correct Answer: 85

Exam Year: 2023

Solution:

Total score of 30 students = 30 * 75 = 2250. New total = 31 * 76 = 2356. Score of new student = 2356 - 2250 = 106.

A class has 30 students with an average score of 75. If a new student joins and

Practice Questions

A class has 30 students with an average score of 75. If a new student joins and the average becomes 76, what is the score of the new student? (2023)

Questions & Step-by-Step Solutions

A class has 30 students with an average score of 75. If a new student joins and the average becomes 76, what is the score of the new student? (2023)

Step 1: Calculate the total score of the 30 students. Multiply the number of students (30) by the average score (75). This gives you 30 * 75 = 2250.
Step 2: Calculate the new total score after the new student joins. Multiply the new number of students (31) by the new average score (76). This gives you 31 * 76 = 2356.
Step 3: Find the score of the new student. Subtract the total score of the original 30 students (2250) from the new total score (2356). This gives you 2356 - 2250 = 106.

Average Calculation – Understanding how to calculate the average score and how it changes with the addition of a new data point.
Total Score Calculation – Calculating the total score based on the average and the number of students.
Impact of New Data Point – Analyzing how the addition of a new student affects the overall average.

A class has 30 students with an average score of 75. If a new student joins and

What’s inside this PDF?

A class has 30 students with an average score of 75. If a new student joins and

Practice Questions

Questions & Step-by-Step Solutions

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