Problem 64 - Basic Statistics for Business and Economics with Student

Question

Rolland Poust is a sophomore in the College of Business at Scandia Tech. Last semester he took courses in statistics and accounting, 3 hours each, and earned an \(\mathrm{A}\) in both. He earned a \(\mathrm{B}\) in a five-hour history course and a \(\mathrm{B}\) in a two-hour history of jazz course. In addition, he took a one-hour course dealing with the rules of basketball so he could get his license to officiate high school basketball games. He got an A in this course. What was his GPA for the semester? Assume that he receives 4 points for an \(\mathrm{A}, 3\) for \(\mathrm{a} \mathrm{B},\) and so on. What measure of location did you just calculate?

Step-by-Step Solution

Answer

GPA is 3.5; calculated the average, or GPA.

Step 1: Determine Credit Hours and Grades

List each course along with the credit hours and the grade received. Rolland has the following courses: - Statistics: 3 credit hours, earned an A. - Accounting: 3 credit hours, earned an A. - History: 5 credit hours, earned a B. - History of Jazz: 2 credit hours, earned a B. - Rules of Basketball: 1 credit hour, earned an A.

Step 2: Assign Grade Points

Assign grade points based on the grade received: - A = 4 points - B = 3 points Thus, the grade points for each course are: - Statistics: 4 points - Accounting: 4 points - History: 3 points - History of Jazz: 3 points - Rules of Basketball: 4 points.

Step 3: Calculate Grade Points Contribution per Course

Multiply the grade points by the credit hours for each course: - Statistics: 3 credit hours * 4 points = 12 points - Accounting: 3 credit hours * 4 points = 12 points - History: 5 credit hours * 3 points = 15 points - History of Jazz: 2 credit hours * 3 points = 6 points - Rules of Basketball: 1 credit hour * 4 points = 4 points.

Step 4: Sum Total Grade Points and Credit Hours

Add all the grade points together and sum up the credit hours: - Total grade points = 12 (Statistics) + 12 (Accounting) + 15 (History) + 6 (History of Jazz) + 4 (Rules of Basketball) = 49 points. - Total credit hours = 3 + 3 + 5 + 2 + 1 = 14 hours.

Step 5: Calculate GPA

Divide the total grade points by the total credit hours to calculate the GPA:\[\text{GPA} = \frac{49 \text{ points}}{14 \text{ hours}} = 3.5\]

Step 6: Identify Measure of Location

The measure of location calculated here is the average of Rolland's grades weighted by credit hours, commonly referred to as the Grade Point Average (GPA).

Key Concepts

Credit Hours

Credit hours are an essential part of understanding college courses, as they reflect the amount of work associated with a class. They usually indicate the number of hours spent in class per week.
Each course in college is assigned a specific number of credit hours, which also help determine the workload for that course. For instance:

• A class meeting three times a week typically carries 3 credit hours.
• Lab courses might have more hours due to additional hands-on sessions.
• Courses like internships might have variable credit hours based on duration.

Credit hours also play a vital role in calculating your GPA. They are used to weight the grades from each class because not all classes contribute equally to your overall workload. This weighting ensures fairness when calculating your GPA, with more intensive classes having a greater impact compared to lighter courses.

Grade Points

Grade points are numerical values assigned to the grades you earn in your courses. They are crucial for converting letter grades into a format suitable for GPA calculation.
In many institutions, the number scale is typically framed as follows:

• A equals 4.0 grade points
• B equals 3.0 grade points
• C equals 2.0 grade points
• D equals 1.0 grade points
• F equals 0 grade points

These grade points help in comparing performance across different courses. Once you know the grade points for each grade, they can be multiplied by the credit hours for each course to find the contribution of each course to the overall GPA.

Weighted Average

A GPA is essentially a weighted average of your grades. Rather than giving equal importance to each class, the grades are weighted by the number of credit hours for each course.
Here's how you calculate it: - Multiply each class's grade point by its credit hours to get the grade point contribution. - Sum all the grade point contributions.
- Divide by the total number of credit hours.
This method ensures that a course with more credit hours affects your GPA more than a course with fewer hours.

• For example, acing a one-credit art class doesn't carry as much weight as a failing grade in a five-credit math class.
• This makes your GPA a clear reflection of your performance across courses that are weighted by their workload.

As a result, the weighted average offers a balanced measure of your academic performance.

College Courses

College courses vary greatly in terms of content, difficulty, and structure. Each course is designed to provide students with a comprehensive understanding of a specific subject area within a semester.
Courses might include lectures, labs, or practical experiences depending on the field of study. When enrolling, students should consider:

• The number of credit hours, to balance their workload for the semester
• The prerequisites needed for advanced courses
• The relevance of the course to their major or minor

Successfully navigating college courses involves strategic planning. This ensures students can meet graduation requirements while maintaining a healthy GPA. Each course contributes uniquely to a student's academic journey, influencing both their immediate and future educational paths.