ntry to a certain University is determined by a national test. The scores on this test are normally distributed with a mean of 500 and a standard deviation of 110. Alton wants to be admitted to this university and he knows that he must score better than at least 75% (better than the 75th percentile) of the students who took 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.
Entry to a certain University is determined by a national test. The scores on this test are
What score is required for the 75th percentile? (Round to one decimal)
Alton takes the test and scores 585. Will he be admitted to this university?
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