Shame the images aren't clear, but the point is crystal clear.
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Based on my personal evaluation of the data, the image on the left is not based on fact. Here is one specific example. The average murder rate per 100,000 population in the US for 2010 is 4.8. Merced County in California near where I grew up is displayed as a “low murder rate (i.e. red)” area on the map. The overall homicide rate for California for 2010 is 4.7 per 100,000. The Merced County rate is higher than the national average for 2010 at a rate of 10 per 100,000.
This map is cr_p. Stop using it. It does us no good to lie. As with other myths, this map does not attribute the data on which it was built so it cannot be checked.
http://www.fbi.gov/about-us/cjis/ucr/crime-in-the-u.s/2010/crime-in-the-u.s.-2010/tables/10tbl01.xls
http://oag.ca.gov/sites/all/files/pdfs/cjsc/publications/homicide/hm10/preface.pdf
http://www.examiner.com/article/merced-county-has-highest-murder-rate