A student who is a Senior, has the following grading scheme and grades in a hypothetical Quantitative Reasoning course: Homework, Quizzes, Class Participation and Attendance are worth 25% Exam 1 is worth 20% Exam 2 is worth 20% Final exam is worth 35% Just before the final, she has earned the following grades (all out of 100): Homework grades: 100, 94.5, 0, 0, 0, 0, 0, 75, 100, 0, 84, 0 Exam 1: 100 Exam 2: 95 What is her homework average? What percent of the entire semester's grading has been completed so far? What is her course grade average for that work? What is the highest grade she can earn in the course if she is able to score 100 on the final? But wait! There is a 10 point BONUS on the exam. Suppose she scores 110. What is her grade then? The University scoring scale is as follows: A: 93 to 100; A– : 90 to 93, B+: 87 to 90 B: 83 to 87 B– : 80 to 83 C+ : 77 to 80, C: 73 to 77 C – : 70 to 73 D+: 67 to 70 D: 63 to 67 D– : 60 to 63, F: below 60.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
- A student who is a Senior, has the following grading scheme and grades in a hypothetical Quantitative Reasoning course:
- Homework, Quizzes, Class Participation and Attendance are worth 25%
- Exam 1 is worth 20%
- Exam 2 is worth 20%
- Final exam is worth 35%
Just before the final, she has earned the following grades (all out of 100):
Homework grades: 100, 94.5, 0, 0, 0, 0, 0, 75, 100, 0, 84, 0
Exam 1: 100
Exam 2: 95
- What is her homework average?
- What percent of the entire semester's grading has been completed so far? What is her course grade average for that work?
- What is the highest grade she can earn in the course if she is able to score 100 on the final?
- But wait! There is a 10 point BONUS on the exam. Suppose she scores 110. What is her grade then?
The University scoring scale is as follows:
A: 93 to 100;
A– : 90 to 93,
B+: 87 to 90
B: 83 to 87
B– : 80 to 83
C+ : 77 to 80,
C: 73 to 77
C – : 70 to 73
D+: 67 to 70
D: 63 to 67
D– : 60 to 63,
F: below 60.
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