Beta is a measure of how much an investment's returns move in response to moves in the overall market. It is the standard gauge of systematic risk, the risk that comes from broad market swings rather than from anything specific to one company. The market itself is defined to have a beta of 1, and every other security is measured against it: a beta of 1 means the security has tended to rise and fall about as much as the market, a beta above 1 means it has tended to move more, and a beta below 1 means it has tended to move less. A beta near 0 means its returns have shown little relationship to the market's at all.
Because beta is measured relative to a benchmark, the number is only as meaningful as the benchmark it was measured against, and a beta computed against one index will differ from a beta computed against another. It is also historical: it summarizes how a security has co-moved with the market in the past, which is not a promise about the future.