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 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 has completed 16 credits in the table to the right during one semester. grades are weighted so that a = 4.0, a- = 3.7, b+ = 3.4, b = 3.0, b- = 2.7, c+ = 2.4 and c = 2.0. answer parts a and b below.

course | credits | grade
statistics | 4 | b
eastern religions | 4 | a-
french | 4 | c+
geology | 3 | c
geology lab | 1 | a

a. find the students gpa for the semester.

the students gpa is
(type an integer or decimal rounded to the nearest hundredth as needed.)

Explanation:

Identify course credits and grade values

Using the Measures of Center knowledge point

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Calculate total credits

We sum the credits to find the total weight:

$$ \sum w_i = 4 + 4 + 4 + 3 + 1 = 16 $$

Calculate sum of weighted grade points

We multiply each course's credits by its grade value and sum the products:

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Compute the weighted GPA

We divide the total weighted grade points by the total credits:

$$ \text{GPA} = \frac{\sum (w_i \cdot x_i)}{\sum w_i} = \frac{46.4}{16} = 2.90 $$

Answer:

The student's GPA is <blank>2.90</blank>