Tina’s application for graduate school was ranked 76 out of 300 applications. Her twin sister’s application to a different graduate school was ranked 17 out of 500 applications. a. Which sister had the higher ranking? b. If you had the data on the cumulative GPA of each student in each school in June 2019, which measure of average would be the most meaningful – mean, median, mode? Explain.
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.
Tina’s application for graduate school was ranked 76 out of 300 applications. Her twin sister’s application to a different graduate school was ranked 17 out of 500 applications.
a. Which sister had the higher ranking?
b. If you had the data on the cumulative GPA of each student in each school in June 2019, which measure of average would be the most meaningful – mean,
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
