Jerry what you are describing is centre weighted average metering.
Evaluative metering is when the camera meters most of the scene and then combines this information with the current selected focus point, aperture, and current focus distance to try and guess what subject you are trying to photograph. This may result in an average, but in trickier scenes like snow, sand, or other high contrast situations is wildly different.
Bracketing on the other hand is not worth doing unless your application specifically requires it (HDR photography). Don't spray and pick the best photo. This is teaching yourself not to learn to use the camera, but to simply go and pick the best exposure afterwards. Instead learn to use your camera without bracketing. Very soon you'll find you will be able to predict exactly how the scene will turn out, and can use the Exposure Compensation controls before taking a test shot and get a perfect photo every time.