Madeline Lee is a junior at Homestead High School, and she has talked to her guidance counselor about her chances of being admitted to UC San Diego for her college studies. The guidance counselor has told her that UC San Diego generally accepts only those applicants who graduate in the top 10% of their high school class. The average grade point average of the last four senior classes has been 2.67, with a standard deviation of 0.58. What GPA will Madeline have to achieve to be in the top 10% of her class?
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.
Madeline Lee is a junior at Homestead High School, and she has talked to her guidance counselor about her chances of being admitted to UC San Diego for her college studies. The guidance counselor has told her that UC San Diego generally accepts only those applicants who graduate in the top 10% of their high school class. The average grade point average of the last four senior classes has been 2.67, with a standard deviation of 0.58.
What GPA will Madeline have to achieve to be in the top 10% of her class?
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