Three students were applying to the same graduate school. They came from schools with different grading systems. Table 2.74 Student GPA School Average GPA School Standard Deviation Thuy 2.5 2.7 0.8 Vichet 86 80 10 Kamala 8.6 8.4 0.5 How many standard deviations is each student away from hiir school average? If the student GPA is higher than his school average, enter this as a positive number. If the student GPA is lower than his school average, enter this as a negative number. Thuy is standard deviations from Thuy's school average. Vichet is standard deviations from Vichet's school average. Kamala is standard deviations from Kamala's school average. Which student had the best GPA when compared to other students at his school? Thuy Vichet Kamala
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.
Three students were applying to the same graduate school. They came from schools with different grading systems.
Table 2.74
| Student | GPA | School Average GPA | School Standard Deviation |
|---|---|---|---|
| Thuy | 2.5 | 2.7 | 0.8 |
| Vichet | 86 | 80 | 10 |
| Kamala | 8.6 | 8.4 | 0.5 |
How many standard deviations is each student away from hiir school average? If the student GPA is higher than his school average, enter this as a positive number. If the student GPA is lower than his school average, enter this as a negative number.
Thuy is standard deviations from Thuy's school average.
Vichet is standard deviations from Vichet's school average.
Kamala is standard deviations from Kamala's school average.
Which student had the best GPA when compared to other students at his school?
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Thuy |
||
|
Vichet |
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|
Kamala |
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