A class has 30 students with an average score of 75. If a new student joins and
Practice Questions
Q1
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)
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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.
