High School

A GEN110 class, comprised of freshmen and sophomores, sat a test. The mean mark of the class was 70%. There are 30 students in class GEN110, 20 of whom are sophomores. boys. The mean mark for the sophomores in the test was 62%. Work out the mean mark as a percentage for the freshmen. 86% 86% is the wrong answer

Answer :

Final answer:

To find the mean mark as a percentage for the freshmen in class GEN110, subtract the total mark of the sophomores from the total mark of the class and divide by the number of freshmen.

Explanation:

To find the mean mark as a percentage for the freshmen, we need to calculate the total mark of the class and subtract the total mark of the sophomores. Since there are 30 students in class GEN110 and 20 of them are sophomores, there must be 10 freshmen.

The total mark of the class is found by multiplying the mean mark by the number of students: 70% * 30 = 2100%. The total mark of the sophomores is found by multiplying their mean mark by their number: 62% * 20 = 1240%.

Now we can find the mean mark for the freshmen by subtracting the total mark of the sophomores from the total mark of the class and dividing by the number of freshmen: (2100% - 1240%) / 10 = 86%.

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