Dustin Johnson is a professional golfer. In an artilce posted on golf.com in 2011, Johnson's athletic trainer explained that Johnson was an outstanding athlete who excelled in many ways. He compared Johnson's athletic ability to players in other sports. The trainer was quoted as saying: "Dustin's standing broad jump puts him in the 93rd percentile among NBA players." Which of the following is the best interpretation of this quote: Dustin Johnson's standing broad jump is worst than that of 93% of the players in the NBA. Dustin Johnson can jump 93% further than most players in the NBA. Dustin Johnson's standing broad jump is 93% longer this year than it was last year. Dustin Johnson's standing broad jump is as good or better than 93% of players in the NBA. The average length of Dustin Johnson's standing broad jump is 93% more than the average length the standing broad jump of players in the NBA.
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.
Dustin Johnson is a professional golfer. In an artilce posted on golf.com in 2011, Johnson's athletic trainer explained that Johnson was an outstanding athlete who excelled in many ways. He compared Johnson's athletic ability to players in other sports. The trainer was quoted as saying: "Dustin's standing broad jump puts him in the 93rd percentile among NBA players." Which of the following is the best interpretation of this quote:
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Dustin Johnson's standing broad jump is worst than that of 93% of the players in the NBA. |
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Dustin Johnson can jump 93% further than most players in the NBA. |
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Dustin Johnson's standing broad jump is 93% longer this year than it was last year. |
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Dustin Johnson's standing broad jump is as good or better than 93% of players in the NBA. |
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The average length of Dustin Johnson's standing broad jump is 93% more than the average length the standing broad jump of players in the NBA. |
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