The Graduate Record Exam (GRE) has a combined verbal and quantitative mean of 1000 and a standard deviation of 200. Scores range from 200 to 1600 and are approximately normally distributed. For each of the following problems: Indicate the percentage or score called for by the problem. Select the appropriate distribution curve (from below) that relates to the problem. What percentage of the persons who take the test score above 1400? ___ What percentage of the persons who take the test score above 700? ___ Below what score do the bottom 30.9% of the test-takers score?
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 Graduate Record Exam (GRE) has a combined verbal and quantitative
mean of 1000 and a standard deviation of 200. Scoresrange from 200 to 1600 and are approximatelynormally distributed. For each of the following problems:
- Indicate the percentage or score called for by the problem.
- Select the appropriate distribution curve (from below) that relates to the problem.
- What percentage of the persons who take the test score above 1400? ___
- What percentage of the persons who take the test score above 700? ___
- Below what score do the bottom 30.9% of the test-takers score? ___
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