Thirteen students entered the undergraduate business program at Rollins College 2 years ago. The following table indicates what their grade-point averages (GPAs) were after being in the program for 2 years and what each student scored on the SAT exam (maximum 2400) when he or she was in high school. Is there a meaningful relationship between grades and SAT scores? If a student scores a 1200 on the SAT, what do you think his or her GPA will be? What about a student who scores 2400? STUDENT SAT SCORE GPA A 1263 2.90 B 1131 2.93 C 1755 3.00 D 2070 3.45 E 1824 3.66 F 1170 2.88 G 1245 2.15 H 1443 2.53 I 2187 3.22 J 1503 1.99 K 1839 2.75 L 2127 3.90 M 1098 1.60
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.
Thirteen students entered the undergraduate business program at Rollins College 2 years ago. The following table indicates what their grade-point averages (GPAs) were after being in the program for 2 years and what each student scored on the SAT exam (maximum 2400) when he or she was in high school. Is there a meaningful relationship between grades and SAT scores? If a student scores a 1200 on the SAT, what do you think his or her GPA will be? What about a student who scores 2400?
|
STUDENT |
SAT SCORE |
GPA |
|
A |
1263 |
2.90 |
|
B |
1131 |
2.93 |
|
C |
1755 |
3.00 |
|
D |
2070 |
3.45 |
|
E |
1824 |
3.66 |
|
F |
1170 |
2.88 |
|
G |
1245 |
2.15 |
|
H |
1443 |
2.53 |
|
I |
2187 |
3.22 |
|
J |
1503 |
1.99 |
|
K |
1839 |
2.75 |
|
L |
2127 |
3.90 |
|
M |
1098 |
1.60 |
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