This particular Ganesh statue is an excellent example of craftmanship, and would grace any home.
Iconic representations of Ganesh show considerable variation, his form changing over time from that of a simple elephant in earliest depictions to the Ganesh we know today, typically having the head of an elephant and a large rotund belly.
He is generally shown with four arms, although the number may vary from two to sixteen. When in the four-armed configuration he usually holds his own broken tusk in his lower-right hand and a laddoo sweet in his lower-left hand which he tastes with his trunk. An axe or goad is held in the right upper hand and a noose is held in the left upper hand. Each of Ganesha's items carries it's own important spiritual significance and they (and the number of arms used to carry them) may vary to include a water lily, mace, discus, rosary, bowl of sweets, musical instrument, spear or staff, depending on the specific symbology intended by the artist.