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Please explain how a 1.3ghz dual-core processor trounces a 2 ghz, quad-core processor.

It's not all about ghz. Architecture, cores, etc all come into play. I don't know enough to explain it more thoroughly than that.
 
Not too long ago Samsung was accused of inflating their scores. Probably something that Apple stole a page from and actually executed it.
 
apple is a much smaller ecosystem than anrdoid is, in terms of devices.

this fact translates to it being FAR easier to optimize the system for performance. if you only have to write for 7 configurations of hardware with a single OS among them, it's leaps and bounds easier than for 200+ across 5 or more different operating system versions. don't even bother taking into account manufacturer skinning, it just gets stupid.

same basic reason people develop apps for iOS sooner than android - it's simply easier due to fewer variables.
 
As bjacks said, there's more to it than just raw horsepower. Android is acknowledged to be CPU-intensive, while the new iP5S SOC's 64-bit architecture may well give it an advantage in synthetic CPU benchmarks.
 
My guess is that, while it's true that, as noted above, it's not all about the processor, there's also probably quite a bit in what bjacks12 says: a bit of picking and choosing of benchmarking software and some optimisation for producing common benchmark results.
 
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