50 40 30 10 375 750 1125 1500 Yards Gained # of Receivers 20
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.
Receivers 2010 This histogram displays NFL data from
the 2010 football season reporting the number of yards
gained by each of the league’s 191 wide receivers:The mean is 397.15 yards, with a standard deviation of
362.4 yards.
a) According to the Normal model, what percent of
receivers would you expect to gain more yards than 2
standard deviations above the mean number of yards?
b) For these data, what does that mean?
c) Explain the problem in using a Normal model here.
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