This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.

Tutorial Exercise

The grade point average for college students is based on a weighted mean computation. For most colleges, the grades are given the following data values: A (4), B (3), C (2), D (1), and F (0). After60 credit hoursof course work, a student at State University earned12credithours of A,14credit hoursof B,32credit hoursof C, and2credit hoursof D.

(a)

Compute the student's grade point average.

(b)

Students at State University must maintain a 2.5 grade point average for their first 60 credit hours of course work in order to be admitted to the business college. Will this student be admitted?

Step 1

(a)

Compute the student's grade point average.

A weighted mean is used when some observations in a data set are more important than others. Recall the formula for calculating a weighted mean wherew_i

is the weight of observationi, andx_i

is theith observation. The numerator will be the sum of each observation multiplied by its respective weight. The denominator is the sum of all the weights.

x=w_ix_i

w_i

Be careful when assigning variables to weights and observations. A grade point average can be thought of as the average grade received for each hour of coursework taken. Thereforew_i

represents

---Select---

grade values

credit hours

andx_i

represents

---Select---

grade values

credit hours

.