Here are the numbers of robberies in New York City, according to the New York Police Department (NYPD), for 2000 through 2017. Display these data in a graph.
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.
Here are the numbers of robberies in New York City, according to the New York Police Department (NYPD), for 2000 through 2017. Display these data in a graph.
| Year: | 2000 | 2001 | 2002 | 2003 | 2004 |
| Count: | 32,562 | 28,202 | 27,229 | 25,989 | 24,373 |
| Year: | 2005 | 2006 | 2007 | 2008 | 2009 |
| Count: | 24,722 | 23,739 | 21,809 | 22,401 | 18,601 |
| Year: | 2010 | 2011 | 2012 | 2013 | |
| Count: | 19,486 | 19,717 | 20,144 | 19,128 | |
| Year: | 2014 | 2015 | 2016 | 2017 | |
| Count: | 16,539 | 16,931 | 15,500 | 13,956 |
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What are the most important facts that the data show?
The crime rate appears to be leveling off.
The largest percentage decrease in the crime rate was between 2000 and 2001.
In another 17 years, the crime rate will be close to zero.
There were less than half as many robberies in 2017 than there were in 2000.
Robberies decreased overall from 2000 to 2017, with occasional increases.
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