2.26 USA TODAY (June 11, 2010) gave the following data on median age for each of the 50 U.S. states and the District of Columbia (DC). Construct a stem-and-leaf display using stems 28, 29, ..., 42. Comment on shape, center, and variabil- ity of the data distribution. Are there any unusual values in the data set that stand out? (Hint: See Example 2.8.) State Median Age Median Age State Alabama 37.4 Maine 42.2 Alaska 32.8 Maryland Massachusetts 37.7 Arizona 35.0 39.0 Arkansas 37.0 Michigan Minnesota 38.5 California 34.8 37.3 Colorado Mississippi Missouri 35.7 35.0 Connecticut 39.5 37.6 Delaware 38.4 Montana 39.0 DC 35,1 Nebraska 35.8 Florida 40.0 Nevada 35.5 Georgia Hawaii New Hampshire New Jersey 34.7 40.4 37.5 38.8 Idaho 34.1 New Mexico 35.6 Illinois 36.2 New York 38.1 Indiana 36.8 North Carolina 36.9 Iowa 38.0 North Dakota 36.3 Kansas 35.9 Ohio 38.5 Kentucky Louisiana 37.7 Oklahoma 35.8 35.4 Oregon 38.1

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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.