I am curious, why are you fixated on "average depth"?
AND: Is there a standard definition of "average depth"?
My computer allows me to download my profile and get an exact picture of my dive. I really don't care about depth details and am more interested in things like sawtooth behaviour and fast ascents. Early on I used this information to temper my up and down behaviour a bit. I had a video camera and would randomly chase fish up and down during the dive. I don't do that anymore.
So: What information does average depth provide?
Good question. I often dive in places where having a computer (tablet/laptop) is excess baggage even if it makes it through the journey. Shock horror, I use a paper log book. When I look back at say the last 80 dives, I can compare air consumption, max depth, average depth, temperature and all the features of the dive that I have noted such as current, fish-life, gear used.
I use the same computer so the average depth is comparable. I am a recreational diver. I sometimes don't dive for over 6 months. When considered alongside all the information, average depth gives me clues (clues not answers) to my dive fitness, how comfortable I was with the dive (which is the result of how out of practice, dive conditions, dive operation etc). It may raise questions. Is it what I expected? So what went on with a dive that on average was shallow, yet the air consumption was high? Went deep and then came up or finning against the current or not as fit as I thought, etc? I then run the dynamic log to help find the answers.
I am a recreational diver. I need to reflect on my dives and use that information to plan my next dive. I consciously avoid "sawtooth" dive profiles, but I try not to be complacent and all the information I can get to monitor my dive helps. With gaps of over 6 months, there's always a re-learn/re-think. (Scope for another thread on stupid mistakes on first-dive-back "My regulator isn't working", "Try turning your air on", "Dohh". At least it was discovered in a buddy-check - which is what they are for.)
To others, thanks for the answers about which computers provide average depth on the dive computer log (without the need to connnect to a computer). The discussion about what an average is has been interesting and relevant. It is important to know, particularly in the event that you change computers. The discussion on the adjacent thread regarding buying a dive computer is very interesting in this context.