The scores on an exam were normally distributed with a mean of 75 and a standard deviation of 8. There were 320 students that took the test. 68% 95% 99.7% Exam Scores a How many students scored 75 or higher on the exam? b. How many students scored below 59? c. How many students scored above 91? d. How many students scored 67 or higher? e. How many students scored between 59 and 83?
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.
The scores on an exam were
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