C4. Your task is to construct a report regarding the pumber of federal arrests by offense and year using the following data from the U.S. Department of Justice. Data are presented for fiscal years 2015 and 2016. Identify the appropriate measures of central tendency and measures of variability that should be applied to these data. Type of Offense FY 2015 FY2016 Violent 3,457 3,463 Property 12,207 10,913 Drug 23,655 23,566 Public order 7,894 7,599 Weapon 7,420 8,008 Immigration 71,119 68,315 Source: U.S. Department of Justice, Federal Justice Statistics, 2015-20
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.
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