At the end of each semester, Professor Mann calculates an overall score for each of his students in large sections of an Introductory Statistics course. The overall score is calculated based on each students performance on homework, attendance, tests, quizzes and a final exam. A final grade is then assigned based on the overall score for the course. In a particular semester, the scores are normally distributed with a mean score of l = 78 and a standard deviation o = 6. Professor Mann decides to give A to the top 14% of the students. What is the the minimum score a student can get and still get an A?
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.
At the end of each semester, Professor Mann calculates an overall score for each of his students in large sections of an Introductory Statistics course. The overall score is calculated based on each students performance on homework, attendance, tests, quizzes and a final exam. A final grade is then assigned based on the overall score for the course. In a particular semester, the scores are
Professor Mann decides to give A to the top 14% of the students. What is the the minimum score a student can get and still get an A?
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