In September, Lee ran in the Run Rabbit Run 50 mile race in Steamboat. The race is an out-and-back course that runs from Steamboat Ski Resort to Rabbit Ears and back to Steamboat Ski Resort. The table below provides the timed splits at the various aid stations along the course. (a)  List two different functions that can be formed from the data in the table. Be sure to specify the dependent and independent variables. 
(b)  Name one way in which the data in the table is not a function. Explain. 
(c)  Construct a graph that depicts the relationship between time and the total distance traveled in the race. 
(d)  Construct a graph that depicts the relationship between time and displacement from start/finish (relative distance to start/finish). 
(e)  Compare Lee’s average running speed from Dumont to Rabbit Ears and his average running s

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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.