Diablo 3 Witch Doctor Base Intelligence difference
I did some digging regarding this situation and it seems that there was a bug not that long ago in the console version regarding Set bonuses, here's a video that shows the bug:
Video
This video shows how you get a 100 Vit bonus by wearing two pieces of a set, you logout and login and you get another 100 Vit increase due to the Set bonus, and even if you unequip the items, you still keep the bonuses in your base stats.
According to the console hotfix log from Blizzard, this bug was fixed in September of last year and it mentions that it just fixed the new ocurrences but did not fix the affected characters. All affected characters were set to the right statuses by the 1.0.2 Patch release 10/01/2013, these are the patch notes.
This is the closest thing I found or I could think of that could have affected your Witch Doctor, as it seems consistent enough, but given the timeframe, the only way this could still happen to you is if you hadn't added that patch and kept playing offline (which I've no idea if it's possible in the console version).
There must have been something you have done to your characters, as per definition you start out with 10 points in your primary stat when you create a character and get an increase of 3 per level in your primary stat, this means that at lvl 60 you have gained 59 levels resulting in an increase of your primary stat by 59*3 = 177 points meaning you should have 187 points in your intelligence in total.
I am not sure if the console version of the game still works with the old paragon system in which you gain stats, magic find and gold find per paragon level but if this is the case you should be getting the normal stat increase as mentioned above. (3 primary stat points per level). This is different in the paragon 2.0 system where you can assign the points you get per paragon level to different stats, meaning if you put points in your main stat it increases by 5 per point put in the chosen stat.
All this should make it clear that it is impossible to get those statistics you mentioned without wearing gear. If there is someone with a better explanation for this phenomenon I would like to read it.
I hereby hope to have informed you well enough.