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New York crime statistics are available at the the NYPD website under Crime Prevention. You'll find city wide statistics and statistics for each precinctβ a map of precincts is also available.
e.g.
An alternative point of view would be a visualation of crime, which are typically found by searching for "mash ups", e.g.
The site Flowing Data has some pointers to other crime visualisation sites.
Upvote:3
After researching it again, I found now a map you can play around with on NYC.gov https://maps.nyc.gov/crime/ containing up-to-date information from crime statistics.
You can change the 'map type' (e.g. check for precinct stats or the crime location with a scatter plot), change the 'Date range' and sort for specific crimes.
As an anactdotaral reference, I can say that this map get updates very soon. For example, a burglary was added within two weeks (validated via the exact location it actually happened).