Given the grades listed below, what grade would you need to earn on the final exam to earn a final grade average of at least an 85? Show how you know. If you guess and check with the answer only, you will not receive credit. Test Average 50% Final Exam 20% Homework 15% Class Participation 15% Test grades {75, 82, 90, 76} Homework {90, 100, 75, 87, 63} Class Participation {90} Final {??}
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.
We are given the test grades to be 75, 82, 90, and 76. It follows that the total marks in the test are out of 400. Therefore, the test grades out of 50 are .
Also, we are given the homework grades to be 90, 100, 75, 87, and 63. It follows that the total grades in homework are out of 500. Therefore, the homework grades out of 15 are .
Class participation grades are given to be 90 out of 100. Therefore, we get the class participation grades out of 15 to be .
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