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Chapter 3: Problem 54

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 \(F(0) .\) After 60 credit hours of course work, a student at State University earned 9 credit hours of \(A, 15\) credit hours of \(B, 33\) credit hours of \(C,\) and 3 credit hours of \(\mathrm{D}\) 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?

Short Answer

Expert verified
The student's GPA is 2.5. The student will be admitted to the business college.

Step by step solution

01

Understanding Credit Hours and Grade Points

Credit hours represent the weight of each course, and each grade has an associated grade point value. Here we have: - 9 credit hours of grade A (4 points) - 15 credit hours of grade B (3 points) - 33 credit hours of grade C (2 points) - 3 credit hours of grade D (1 point) - 0 credit hours of grade F (0 points).
02

Calculate Total Grade Points

For each grade, multiply the number of credit hours by the grade point:- Grade A: \(9 \times 4 = 36\)- Grade B: \(15 \times 3 = 45\)- Grade C: \(33 \times 2 = 66\)- Grade D: \(3 \times 1 = 3\).Add these results to find the total grade points:- Total Grade Points = 36 + 45 + 66 + 3 = 150.
03

Calculate the Weighted Mean (GPA)

To find the GPA, divide the total grade points by the total number of credit hours.- Total Credit Hours = 9 + 15 + 33 + 3 = 60.- GPA = \(\frac{150}{60} = 2.5\).
04

Determine Admission Status

The student needs a GPA of at least 2.5 to be admitted to the business college. Since the computed GPA is 2.5, the student meets this requirement.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Grade Point Average
The Grade Point Average, often abbreviated as GPA, is a clear representation of a student's academic performance. It is a calculated average of the grades a student receives, weighted by the number of credit hours each course is worth. The higher the grade, the more points it contributes to the GPA. In our context, State University utilizes a typical grading scale where:
  • A equals 4 points
  • B equals 3 points
  • C equals 2 points
  • D equals 1 point
  • F equals 0 points
Each grade influences the overall average according to the number of credit hours. Therefore, to determine a GPA, total grade points are divided by the total credit hours taken. Let鈥檚 say a student accumulates 150 grade points over 60 credit hours; their GPA would be calculated as \(\left(\frac{150}{60}\right) = 2.5\). This average serves as a metric to gauge academic standing over time.
Credit Hours
Credit hours are unique to college courses, essentially forming a way to quantify the volume of work associated with a class. It represents both the time invested in attending the class and the effort expected outside of the classroom. Institutions assign credit hours accordingly, ensuring that more intensive courses carry a greater weight.
  • In this case, the student enrolled in courses totaling 60 credit hours spread across various grades.
  • Nine of those were grade A, translating to 36 grade points (9 \(\times\) 4).
  • Fifteen were grade B, turning into 45 grade points.
  • Thirty-three were grade C, resulting in 66 grade points.
  • And finally, three hours were grade D, contributing 3 points.
In essence, credit hours serve not just as a measure of workload but also as a fundamental component in calculating the weighted mean necessary to determine a student's GPA.
Admission Requirements
Meeting admission requirements is a central focus for prospective students, particularly those aspiring to enter specialized colleges such as a business college. Many institutions impose a minimum GPA threshold to ensure students possess the needed aptitude for their programs. In our scenario, State University requires a GPA of at least 2.5 after the first 60 credit hours to admit a student to their business college. The importance of maintaining this GPA cannot be overstated, as it determines students鈥� eligibility to advance in their academic journey. Given the student's GPA of 2.5, calculated from accumulated grade points and credit hours, they meet this specific admission criterion. Ensuring these standards are upheld guarantees the university's competitive environment and helps students align with their educational aspirations. Achieving the required GPA underscores a student's readiness and commitment to continue in a rigorous academic program.

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Most popular questions from this chapter

Endowment income is a critical part of the annual budgets at colleges and universities. A study by the National Association of College and University Business Officers reported that the 435 colleges and universities surveyed held a total of \(\$ 413\) billion in endowments. The 10 wealthiest universities are shown in the following table (The Wall Street Journal, January 27,2009 ). Amounts are in billions of dollars. $$\begin{array}{lccc} \text { University } & \text { Endowment (\$billion) } & \text { University } & \text { Endowment (Sbillion) } \\ \text { Columbia } & 7.2 & \text { Princeton } & 16.4 \\ \text { Harvard } & 36.6 & \text { Stanford } & 17.2 \\ \text { M.I.T. } & 10.1 & \text { Texas } & 16.1 \\ \text { Michigan } & 7.6 & \text { Texas A\&M } & 6.7 \\ \text { Northwestern } & 7.2 & \text { Yale } & 22.9 \end{array}$$ a. What is the mean endowment for these universities? b. What is the median endowment? c. What is the mode endowment? d. Compute the first and third quartiles. e. What is the total endowment at these 10 universities? These universities represent \(2.3 \%\) of the 435 colleges and universities surveyed. What percentage of the total \(\$ 413\) billion in endowments is held by these 10 universities? f. The Wall Street Journal reported that over a recent five-month period, a downturn in the economy has caused endowments to decline \(23 \%\). What is the estimate of the dollar amount of the decline in the total endowments held by these 10 universities? Given this situation, what are some of the steps you would expect university administrators to be considering?

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Small business owners often look to payroll service companies to handle their employee payroll. Reasons are that small business owners face complicated tax regulations, and penalties for employment tax errors are costly. According to the Internal Revenue Service, \(26 \%\) of all small business employment tax returns contained errors that resulted in a tax penalty to the owner (The Wall Street Journal, January 30,2006 ). The tax penalty for a sample of 20 small business owners follows: $$\begin{array}{rrrrrrrrr} 820 & 270 & 450 & 1010 & 890 & 700 & 1350 & 350 & 300 & 1200 \\ 390 & 730 & 2040 & 230 & 640 & 350 & 420 & 270 & 370 & 620 \end{array}$$ a. What is the mean tax penalty for improperly filed employment tax returns? b. What is the standard deviation? c. Is the highest penalty, \(\$ 2040,\) an outlier? d. What are some of the advantages of a small business owner hiring a payroll service company to handle employee payroll services, including the employment tax returns?

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The following times were recorded by the quarter-mile and mile runners of a university track team (times are in minutes). $$\begin{array}{llllll} \text {Quarter-Mile Times:} & .92 & .98 & 1.04 & .90 & .99 \\ \text {Mile Times:} & 4.52 & 4.35 & 4.60 & 4.70 & 4.50 \end{array}$$ After viewing this sample of running times, one of the coaches commented that the quartermilers turned in the more consistent times, Use the standard deviation and the coefficient of variation to summarize the variability in the data. Does the use of the coefficient of variation indicate that the coach's statement should be qualified?
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