The graph illustrates the distribution of test scores taken by College Algebra students. The maximum possible score on the test was 140, while the mean score was 77 and the standard deviation was 15. 32 47 62 77 92 107 122 Distribution of Test Scores Use the "Empirical Rule", not a calculator or other technology. Do not round your answers. What is the approximate percentage of students who scored between 77 and 92 on the test? % What is the approximate percentage of students who scored less than 47 on the test? % What is the approximate percentage students who scored between 62 and 92 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.
The graph illustrates the distribution of test scores taken by College Algebra students. The maximum possible score on the test was 140, while the mean score was 77 and the standard deviation was 15.
32
47
62
77
92
107
122
Distribution of Test Scores
Use the "Empirical Rule", not a calculator or other technology. Do not round your answers.
What is the approximate percentage of students who scored between 77 and 92 on the test?
%
What is the approximate percentage of students who scored less than 47 on the test?
%
What is the approximate percentage students who scored between 62 and 92 on the test?
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