Table 1.9 SAT Math Versus GPA SAT MATH GPA 450 3.25 480 2.60 500 2.88 520 2.85 560 3.30 580 3.10 590 3.35 600 3.20 620 3.50 650 3.59 700 3.95
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.
Are SAT mathematics scores a good indicator of college success? All of us have taken one or more academic aptitude tests as part of a college admission procedure. The admissions staff at your college used the results of these tests to determine your admission status. Table 1.9 gives the SAT math scores from a test given before admission to college and the GPAs at college graduation for a random sample of 11 students at one small private university in the Midwest. Construct a
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