A statue was a sculpture that represented something, often a person or animal.

On Risa, the display of a horga'hn statuette indicated desire to take part in jamaharon. (TNG: "Captain's Holiday"; DS9: "Let He Who Is Without Sin...")

Worf kept a statue of Kahless and Morath during their fight in his quarters aboard the USS Enterprise-D. (TNG: "Peak Performance", "Reunion", "New Ground", "Cost of Living")

A 20 feet tall statue of Zefram Cochrane stood in Bozeman, Montana by 2373. Lieutenant Commander Geordi La Forge informed the historical Cochrane of this fact after time travel left him and the rest of the USS Enterprise-E crew in 2063. (Star Trek: First Contact)

Kolos payed 36 bars of latinum for a Verathan statue depicting Drohlak in a auction at Quark's Bar on Deep Space 9 in 2369. (DS9: "Q-Less")

Statues of Ardelon Tandro were all over Klaestron IV that same year. (DS9: "Dax")

Several statues existed in the Monastery of the Kai. (DS9: "In the Hands of the Prophets")