Question doesn't really make sense. There's no bike that's made out of chrome.
You can have a steel bike that is chromed on the surface. Or you can have a steel bike made out of an alloy containing chrome. Chrome-Molybdenum, Cr-Mo is a common, strong steel alloy. And it can be chromed.
What'll decide the weight of a bike isn't as much the material, as what the bike is intended to be used for, and what it's allowed to cost. An expensive race bike will be light. A cheap department store bike will be heavy.
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