Questions: We often deal with weighted means, in which different data values carry different weights in the calculation of the mean. For example, if the final exam counts for 50% of your final grade and 2 midterms each count for 25%, then you must assign weights of 50% and 25% to the final and midterms, respectively, before computing the mean score for the term. Apply the idea of weighted mean in the following exercise. A student is taking an advanced philosophy class in which the midterm and final exams are worth 35% each and homework is worth 30% of his final grade. On a 100-point scale, his midterm exam score was 83.1, his homework average score was 90.3, and his final exam score was 87.6. Complete parts (a) and (b) below. a. On a 100-point scale, what is the student's overall average for the class? His overall average is 86.8. (Round to the nearest tenth as needed.) b. The student was hoping to get an A in the class, which requires an overall score of 93.5 or higher. Could he have scored high enough on the final exam to get an A in the class? Select the correct choice below and fill in the answer box to complete your choice. (Round to the nearest tenth as needed.) A. Yes, if the student scored points or greater on a 100-point scale on the final exam, he could have earned an A in the class. B. No, in order for the student to have earned an A in the class, he would have had to score points or greater on a 100-point scale on the final exam, which is not possible.

Transcript text: We often deal with weighted means, in which different data values carry different weights in the calculation of the mean. For example, if the final exam counts for $50 \%$ of your final grade and 2 midterms each count for $25 \%$, then you must assign weights of $50 \%$ and $25 \%$ to the final and midterms, respectively, before computing the mean score for the term. Apply the idea of weighted mean in the following exercise. A student is taking an advanced philosophy class in which the midterm and final exams are worth $35 \%$ each and homework is worth $30 \%$ of his final grade. On a 100 -point scale, his midterm exam score was 83.1 , his homework average score was 90.3 , and his final exam score was 87.6 . Complete parts (a) and (b) below. a. On a 100 -point scale, what is the student's overall average for the class? His overall average is 86.8 . (Round to the nearest tenth as needed.) b. The student was hoping to get an A in the class, which requires an overall score of 93.5 or higher. Could he have scored high enough on the final exam to get an $A$ in the class? Select the correct choice below and fill in the answer box to complete your choice. (Round to the nearest tenth as needed.) A. Yes, if the student scored $\square$ points or greater on a 100-point scale on the final exam, he could have earned an A in the class. B. No, in order for the student to have earned an A in the class, he would have had to score $\square$ points or greater on a 100-point scale on the final exam, which is not possible.