erhoben
collected
Refers to data, fees, or taxes that have been collected or imposed.
Die für die Studie erhobenen Daten werden anonym ausgewertet.
The data collected for the study will be evaluated anonymously.

collected / raised
Loading your saved state.
collected
Refers to data, fees, or taxes that have been collected or imposed.
Die für die Studie erhobenen Daten werden anonym ausgewertet.
The data collected for the study will be evaluated anonymously.

'Erhoben' is the past participle of the verb 'erheben' (to raise / to collect / to levy). It is used as an adjective to describe a state that has resulted from the action of 'Erheben'. So something has already been collected or brought upward.
Die erhobene Gebühr muss bis Ende des Monats bezahlt werden.
The collected fee must be paid by the end of the month.
You can recognize the meaning of 'erhoben' (collected/raised) from the noun: in connection with 'Daten' (data), 'Gebühren' (fees), or 'Steuern' (taxes), it means 'collected'. In connection with body parts like 'Kopf' (head) or 'Hand' (hand), it means 'held up'.
Alle für die Umfrage erhobenen Daten sind anonym.
All data collected for the survey is anonymous.
In this meaning, you often find 'erhoben' in formal or official contexts. Typical combinations are 'erhobene Daten' (collected data), 'erhobene Gebühren' (charged fees), and 'erhobene Anklage' (charges brought).
Die neu erhobene Steuer betrifft nur importierte Waren.
The newly imposed tax affects only imported goods.
To describe a gesture or posture, 'erhoben' is often used in the construction 'mit + dative + erhobenem/erhobener...' (with + raised...). This emphasizes the manner in which something is done.
Der Redner stand mit erhobener Hand vor dem Publikum.
The speaker stood before the audience with his hand raised.
noble / fine
'Edel' and 'erhoben' can both express something high-quality, solemn, or special. 'Edel' is used more for things, materials, products, or also for a good moral attitude. So you can have 'ein edles Kleid' (an elegant dress), 'ein edler Wein' (a fine wine), or 'eine edle Tat' (a noble deed). 'Erhoben' fits especially with feelings, music, words, or a mood and sounds solemn. In everyday language, 'edel' is much more common and concrete; 'erhoben' sounds more elevated or literary.

Nach dem Konzert ging Hannah mit einem erhobenen Gefühl nach Hause.
After the concert, Hannah went home with an uplifted feeling.
Auf dem Tisch stand eine edle Vase aus dunklem Glas.
On the table stood an elegant vase made of dark glass.