Question: 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

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 30% each and homework is worth 40% of his final grade. On a 100-point scale, his midterm exam score was 85.1, his homework average score was 89.2, and his final exam score was 86.8. 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

(Round to the nearest tenth as needed.)

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