Multiple choice

In a university, there are two classes, Class X and Class Y. Class X has 20 students, and Class Y has 30 students. The average score of students in Class X is 75, while the average score of students in Class Y is 70. Quantity A The average score of all the students in both classes combined Quantity B 72.5

  1. Quantity A is greater.

  2. Quantity B is greater.

  3. The two quantities are equal.

  4. The relationship cannot be determined from the information given.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The weighted average is ((20 * 75) + (30 * 70)) / (20 + 30) = (1500 + 2100) / 50 = 3600 / 50 = 72. Quantity A is 72, which is less than Quantity B (72.5).

AI explanation

The combined total score for Class X is 20 multiplied by 75, which is 1500, and the combined total score for Class Y is 30 multiplied by 70, which is 2100. The average score for all 50 students is the sum of 1500 and 2100, resulting in 3600, divided by 50, yielding 72. Since Quantity A is 72, it is less than Quantity B at 72.5. Quantity B is greater.

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