Question

Two Physics classes at Jefferson High School took the same quiz. Mr. Spears had 20 students in his class with a mean score of 80. Mrs. Guyton's class of 30 students had a mean score of 90. Overall, what was the mean score for all students on the quiz

Answer 1

Answer:

The mean score for all students on the quiz was 86.

Step-by-step explanation:

This question is solved by a weighed average.

To find the weighed average, we add the values multiplied by their weight, and after that we divide by the sum of weights.

In this problem, we have that:

Mr. Spears had 20 students in his class with a mean score of 80.

So 80 has a weight of 20.

Mrs. Guyton's class of 30 students had a mean score of 90.

So 90 has a weight of 30.

Overall, what was the mean score for all students on the quiz

$M = \frac{80*20 + 90*30}{20 + 30} = 86$

The mean score for all students on the quiz was 86.