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Can someone help clarify DPS numbers?

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I recently started to work my way through the nightmare campaign, but am baffled by the DPS numbers on some of my characters.  For example, my Monk has a Legendary weapon, that when viewing shows 20.48k ranged DPS.  However, when I look at my Monk's hero stats, it shows a ranged DPS of 351??  How are these numbers related? 

Also, I've noticed inconsistencies between weapons.  I have an Epic and Legendary staff for my Apprentice...the Legendary shows 1776 ranged DPS, but in the Nightmare tavern, hits for 5500 DPS on the dummy.  My Epic staff shows 1826DPS when viewing the weapon, but hits the dummy for roughly 1200 DPS.  What gives?

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