In the sport of American football, passers are rated using the following formula, in which A is the number of passes attempted, C is the number of passes completed, Y stands for yardage gained through passing. Tis the number of touchdown passes, and I is the number of intercepted passes. 125. +6.25 - 1250 - Rating= 3 The accompanying table shows the data for the top 10 passers in a certain year. In the regular season, a certain player attempted 548 passes, completed 320, passed for 16 touchdowns, gained 3780 yards passing, and was intercepted 28 times. With no interceptions, would this player have risen into the top ten rankings? E Click the icon to view the rating points of the top ten players. O Top Ten Player Ratings The player's rating would have been The player (Type an integer or a decimal. Round to one decimal place as needed.) V have risen into the top ten rankings. Rank Passer Rating Points 1 Player 1 119.8 Player 2 Player 3 Player 4 Player Player 6 115.1 114.1 4. 106.6 104.9 104.3 Player 7 100.5 99.7 Player 8 Player 9 Player 10 8 93.6 10 90.4 Print Done
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.
![In the sport of American football, passers are rated using the following formula, in which A is the number of passes attempted, C is the number of passes completed, Y stands for yardage gained through passing, Tis the number of touchdown passes, and I is the number of intercepted
passes.
250.
1000 -
12.5.
+6.25 - 1250 -
Rating =
3
The accompanying table shows the data for the top 10 passers in a certain year. In the regular season, a certain player attempted 548 passes, completed 320, passed for 16 touchdowns, gained 3780 yards passing, and was intercepted 28 times. With no interceptions, would this player
have risen into the top ten rankings?
E Click the icon to view the rating points of the top ten players.
O Top Ten Player Ratings
The player's rating would have been. The player
V have risen into the top ten rankings.
(Type an integer or a decimal. Round to one decimal place as needed.)
Rank
Passer
Rating Points
1
Player 1
119.8
Player 2
Player 3
Player 4
Player 5
Player 6
2
115.1
114.1
4
106.6
104.9
6
104.3
Player 7
Player 8
Player 9
Player 10
100.5
8
99.7
93.6
10
90.4
Print
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