The Mathematics portion of the Graduate Record Examination is graded in such a way that the scores are normally distributed with mean 500 and standard deviation 100. (10) A. What percentage of the applicants scored between 450 and 700? (Indicate how computed.) (10) B. What score would guarantee that an applicant was in the top 5% of all applicants. [Indicate how calculated]
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 Mathematics portion of the Graduate Record Examination is graded in such a way that the scores are
normally distributed with mean 500 and standard deviation 100.
(10) A. What percentage of the applicants scored between 450 and 700?
(Indicate how computed.)
(10) B. What score would guarantee that an applicant was in the top 5% of all applicants. [Indicate how calculated]
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