To get a grade of A -, a student must have a mean average of 90 or greater. Jim has a mean average of 89 for 12 quizzes. He approaches his teacher and asks for an A-, reasoning that he missed an A- by only one point. What is wrong with Jim's reasoning? If Jim has an average of 89, the sum of his quiz grades must be For a grade of 90, the sum of the quiz grades must be So, Jim missed an A- by points, not 1.
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.
To get a grade of A-, a student must have a mean average of 90 or greater. Jim has a mean average of 89 for 12 quizzes. He approaches his teacher and asks for an A-, reasoning that he missed an A- by only one point. What is wrong with Jims reasoning (by showing the answers below).
If Jim has an average of 89, the sum of his quiz grades must be ?
For a grade of 90, the sum of the quiz grades must be ?
So, Jim missed an A- by how many points, instead of 1?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
