Hook: Floor Medium Narrow (Blue Rectangle)The Statue of the Dignified Scholar decoration fits into a narrow blue medium rectangle floor hook.
Hook: Floor Medium (Blue Square)The Statue of the Dignified Scholar decoration fits into a blue medium square floor hook.
How to Get a Statue of the Dignified Scholar Decoration
Cartel Pack Decorations
The Statue of the Dignified Scholar decoration can be dropped from Vigilant Defender Packs, which were released on the Cartel Market and bought with Cartel Coins. Cartel Packs, including the Vigilant Defender Pack, include a random selection of items from the Vigilant Defender collection of items. You aren't guaranteed to get a Statue of the Dignified Scholar decoration from a Vigilant Defender Pack, but it is one of the few ways to get a Statue of the Dignified Scholar deco apart from buying it on the GTN from another player.
If you're looking to get a Statue of the Dignified Scholar, the easiest way to get it is to head to the Galactic Trade Network (GTN) in SWTOR and buy it with credits from another player. If it's very rare and not available on the Cartel Market, you could try buying from the GTN and hope you get it.