Loose tiles are noticed because they produce a distinctive sound when they're walked across, as well as a hollow sound when tapped. Though there are many factors that can cause the loosening of tiles, the most common factors are improper installation or problems with the substrate (level beneath the flooring).
There are two methods to correct loose tiles - rebonding or replacement of the tile.
If the tile is loose, but not damaged, one of the most practical solutions to remedy the situation is to inject a substance that will re-bond the tile to the substrate.
(1) Using a drill motor (aka powerdrill), drill into the grout joints adjacent to the loose tile. Ensure that you apply the correct amount of pressure to drill into the grout, while you prevent the drill from damaging the adjacent tiles.
(2) Use a high-quality two-part epoxy, mix according to manufacturer's directions and pour into a construction syringe. Next, inject the epoxy into one of the holes, and continue until epoxy comes out from the other side. You may want to use a golf tee in the opposite hole, which helps to make sure that the epoxy fills all the spaces beneath the tile.
(3) Dig the epoxy out slightly from each hole and allow it to dry. After drying, re-grout the holes and make them level with the existing grout.
Of course, if one of your tiles are chipped or cracked, then you must replace the tile. Exercise caution during tile removal, since fragments of tile may fly in any direction during the removal. It is best to wear protective goggles or masks to prevent risk to the eyes. Masks are also good for preventing inhalation of ceramic dust, which can be irritating to the throat..
(1) Use a grout saw to cut through the grout around the tile you wish to replace. Be sure to cut through the center of the grout joint, and to saw completely through the grout. By doing this you will isolate the forces that will be exerted against the damaged tile.
(2) Using a masonry chisel (with a 1" - 2" edge) and a hammer, tap the weakest corner of the tile until the corner breaks free. Remember to put the chisel at a slight angle when doing this, and do not exert too much force. You do not want to damage adjacent tiles.
(3) Starting from the removed corner of the tile, place the chisel under the lip of the tile and tap it with a hammer. Do so gently and patiently, and you'll be rewarded as pieces of the tile break off. Be careful while doing so, since forcing it may chip or crack a neighbouring tile. Repeat this process until the tile is completely removed.
(4) Now you need to remove the thinset. But first, you should soften the it by soaking the area in water for about fifteen minutes. Then you can begin to break off small chunks of thinset, using your masonry chisel and hammer, until the substrate is completely visible. It may also be necessary to use a razor scraper to get the last remaining thinset, providing a clean base for your replacement tile.
(5) To replace tiles, skim a thin but even coating of thinset mortar on the new tile with a trowel, then place it into the empty tile space in your floor. Push down firmly on the tile to ensure that it is level. Complete your repair by applying grout around the edges of the tile.