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.
Data Analysis The following data represent the percent of
all drivers by age who have been stopped by the police for
any reason within the past year. The median age represents
the midpoint of the upper and lower limit for the age range.(a) Using your graphing utility, draw a
of the data treating median age, x, as the independent
variable.
(b) What type of model do you feel best describes the
relation between median age and percent stopped?
You may choose from among linear, quadratic, cubic,
exponential, logarithmic, and logistic models.
(c) Provide a justification for the model that you selected in
part (b).
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