The National Football League (NFL) holds its annual draft of the nation's best college football players in April each year. Prior to the draft, various sporting news services project the players who will be drafted along with the order in which each will be selected in what are called mock drafts. Players who are considered to have superior potential as professional football players are selected earlier in the draft. Suppose the following table shows projections by one mock draft service of what position in the first round players from the Atlantic Coast Conference, the Big Ten Conference, the PAC-12 Conference, and the Southeastern Conference will be selected.
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 National Football League (NFL) holds its annual draft of the nation's best college football players in April each year. Prior to the draft, various sporting news services project the players who will be drafted along with the order in which each will be selected in what are called mock drafts. Players who are considered to have superior potential as professional football players are selected earlier in the draft. Suppose the following table shows projections by one mock draft service of what position in the first round players from the Atlantic Coast Conference, the Big Ten Conference, the PAC-12 Conference, and the Southeastern Conference will be selected.
| ACC | Big Ten | PAC-12 | SEC | ||||
|---|---|---|---|---|---|---|---|
| College Attended |
Projected Draft Position |
College Attended |
Projected Draft Position |
College Attended |
Projected Draft Position |
College Attended |
Projected Draft Position |
| Florida State | 2 | Iowa | 9 | USC | 3 | Florida | 1 |
| Clemson | 5 | Michigan St | 10 | Oregon | 8 | Alabama | 4 |
| Miami | 7 | Nebraska | 13 | Oregon | 15 | Kentucky | 6 |
| Georgia Tech | 14 | Minnesota | 26 | Washington | 17 | Texas A&M | 11 |
| Louisville | 19 | Wisconsin | 29 | UCLA | 18 | Missouri | 12 |
| Wake Forest | 20 | UCLA | 21 | Alabama | 16 | ||
| Florida State | 24 | Stanford | 22 | LSU | 25 | ||
| Virginia Tech | 27 | Arizona St | 23 | LSU | 28 |
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