How when does it update , why can I delete the same stuff 4 or 5 times , what is " not synced yet " why can some one send me an e mail at 0600 and I receive it at 1400 hrs when I've been ON line and checked for e mails 4 -5 times before then ? etc .

Edit* OMG. I misread your subject and thought it just said Outlook as in the standalone program I just wasted a ton of your time. I've never used the online version. Sorry about that  It's probably a problem with their crappy service.
Read on if you'd like.

It depends on a few things. I'm not an outlook expert (computer tech, actually) but I'll try to help since no one has replied. I'll answer them in order as best I can. I don't have outlook installed so I'll do my best.

1- How when does it update: I believe your update schedule is set in "preferences"

2- why can I delete the same stuff 4 or 5 times: That probably has something to do with whether you're using POP or IMAP (I'll tell you what it means in a sec.)

3- what is " not synced yet ": I means that your Outlook hasn't synchronized with the remote server (where your email really is) yet or it's having trouble resolving the sync with the host.

4-  why can some one send me an e mail at 0600 and I receive it at 1400 hrs when I've been ON line and checked for e mails 4 -5 times before then ?: It could be an error with Outlooks settings for your mail account. Lag on the service. An issue with your mail provider, an issue with your connection or computer or any number of things.

Who do you use for your email? Gmail? Yahoo? A business account that you didn't set up?

POP (original mail protocol. Meaning- Post Office Protocol) was designed to download emails from a remote server to your computer. IMAP- Internet Message Access Protocol, was designed later to give someone access to email on a remote server to manage them without downloading them.

There are options for POP like "leave messages on the server" (paraphrasing) which means it makes a copy of the email, sends it to your machine, and you and the server both have a copy. If you're using POP and it's set up this way that can cause the issue where you're deleting email and then you get it again. Because, basically, you're only deleting it from YOUR computer, but it's still on the SERVER (somewhere else in the world). If that happens, when you check for mail, the server just gives it all back. There are usually also options for "download to my computer and delete it on the server", things like that.

IMAP is you interacting with the remote computer and managing the mail on their system, where the mail  actually lives, without downloading anything locally to your computer. That's how a lot of stuff is nowadays.

Unless you have a specific reason to use Outlook, like your employer requires it for whatever reason, then there's really no need for it as most internet mail providers use web access anyway. Like AOL, Yahoo, Gmail, etc etc. Even my private host has a web interface. Outlook is a fickle beast and is plagued with issues. As a tech, I would always get calls about someones Outlook getting all jacked up and 99% of the time they didn't need to be using it at all. You might be different.

If you are working for a place that requires you to use outlook (maybe their using a MS exchange server to manage mail) then I'd talk to your tech department as many of them have security in place. If you're running a personal business and need it for some kind of very specific documentation reasons then I'd take a good look at who your mail provider is and make sure your settings are exactly what they recommend.

Also, it's worth saying that if you're using a POP account, and your mail is being stored locally, if your hard drive dies (and they always do. It's inevitable) then you'll lose all of your mail.

If you use, Gmail for instance, search Google for "How to set up gmail with Outlook". You'll have crap like this:
Incoming Mail (IMAP) Server:    imap.gmail.com
Requires SSL: Yes
Port: 993
Outgoing Mail (SMTP) Server:    smtp.gmail.com
Use Authentication: Yes
Port for SSL:: 465 or 587
Use same settings as incoming mail server

Hope this helps a little.

yes the outlook.com did come from a "business" ... state government . BUT I am using it as a privet email account now as I have retired . Some one else explained that I'm really using a redundant thing , when I should just use what's on the p/c .. ? ( windows 10 was 8 + free upgrade ? ) , yeah I didn't even know what synced ment and was afraid to click on the synk button 

 thank you , now I know some one to ask these questions .. 

Well, Windows does have some email features but not as good as just using your providers web portal. See, back in the day when most people were on dil-up internet, Outlook was a nice email client because back then you didn't have direct access to mail. You had to use a program to talk to the other computer to access the mail. Now Outlook isn't included with windows but is sold with Microsoft Office because most people are using web based email stuff. MS tried to make some versions of "Outlook Lite" but now it's just Outlook.com.

Sync is telling the Outlook "forget your mail checking schedule and check for it right now!" So, sync is your friend. Other than that, see if your gov account has a web portal to use directly. You'll love it once you get the hang of it