The graph illustrates the distribution of test scores taken by College Algebra students. The maximum possible score the test was 120, while the mean score was 75 and the standard deviation was 9. 48 57 66 75 84 93 102 Distribution of Test Scores Use the "Empirical Rule", not a calculator or other technology. What is the approximate percentage of students who scored less than 57 on the test? % What is the approximate percentage of students who scored between 75 and 84 on the test? What is the approximate percentage students who scored between 66 and 84 on the test? What is the approximate percentage of students who scored between 57 and 93 on the test?
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.
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