The Scholastic Aptitude Test (SAT) was taken by 1,698,521 college-bound students in the class of 2015.1 The test has three parts: Critical Reading, Mathematics, and Writing. Scores on all thre parts range from 200 to 800. The means and standard deviations for the three tests are shown in Table 1. Mean St.Dev. Critical Reading 495 116 Mathematics 511 120 Writing 484 115 Table 1 SAT Scores for the class of 2015 Label the following sketches of the distributions for the scores on Critical Reading and the scores on Writing, where B and E are the centers and the other axis labels are separated from the center by two standard deviațions. A B C Critical Reading 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.
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