The side-by-side boxplots show the cumulative college GPAs for sophomores, juniors, and seniors taking an intro stats course in Autumn 2003. a) Which class (sophomore, junior, or senior) had the lowest cumulative college GPA? What is the approximate value of that GPA? b) Which class has the highest median GPA, and what is that GPA? c) Which class has the largest range for GPA, and what is it? d) Which class has the most symmetric set of GPAS? Which class has the most skewed set of GPAs?
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 side-by-side boxplots show the cumulative college GPAs for sophomores, juniors, and seniors taking an intro stats course in Autumn 2003.
a) Which class (sophomore, junior, or senior) had the lowest cumulative college GPA? What is the approximate value of that GPA?
b) Which class has the highest
c) Which class has the largest
d) Which class has the most symmetric set of GPAS? Which class has the most skewed set of GPAs?
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