Unfortunately there isn't really a clear-cut answer here, primarily because we aren't talking about something as simple or proprietary as an iPhone. Instead, the PC market is driven by release schedules
Which version of the Xbox did you buy? The original Xbox, the Xbox 360, or the Xbox One? Generally speaking the answer to your question, with respect to game consoles, is "no" however the Xbox One
I would need more information about how you're measuring frame-rate, and what games you're talking about to provide a more directed response. That having been said, your CPU is likely part of the "problem"