 same and then it's nice and neat up here so it's really helpful plus and then dot dot dot and then we're going to go plus x sub n boom and so there we have it and that whole thing over an n and so there we have it so now you've got x1 x2 x3 to xn over n is x bar so then we just insert and it does it for you and then of course you can you can copy and paste this we can do our adding making it larger and oftentimes it's useful to put a color around it so you can just put a color in it just like anything else this one's one note has a little bit different kind of kind of color scheme than some usually you could just color the box but you know I can make it red you could and you could copy it to you can copy it and paste it as a picture which sometimes is useful because that kind of makes it hard-coded you know let's do the other one just to do this one to practice this one if I and then I'll show you how to make these letters so if I go to the insert again and I'm saying let's do another equation and then I'll do I'll do an ink equation of that one ink it out and so we're gonna say this is gonna be x didn't do an x I'll make it really large because this is gonna I don't want it to think that this is on the top of the bottom of the other equation so I'm gonna make that big because then I've got this whole thing on this side equals and then this sign so I'll put that right here boom and then I'm gonna put the end on top it'll kind of mush it to the side over here good but I'm gonna start on top I'm gonna say the end is on top now sometimes it doesn't pick that up until I do the rest of it and then the I equals one on the bottom and then I'm gonna put then x sub I over here and so now I picked up that in on top put the x sub I so it looks good now I'm gonna put the whole thing over n and so there we have it and so I think that's what we wanted it to do so I think that looks good I'm gonna say insert and boom there it is again it put it inside of this one which is not what I wanted it to do but we'll keep it there for now that's the idea I shouldn't have put it inside here I'm frustrated with myself what was I thinking what was I thinking it still works okay so then when you add these things this one's a little bit tricky because you have to put like an x and then and then add the bar so it's like a combo thing so you've got to go to the insert item up top and then we go to let's see insert we're going to go to then the symbols and here's like the most common symbols but I'm going to go into the symbols here and say I want more symbols and then I usually have no normal text so it doesn't do any wacky thing nothing weird on the text and then I'm going to go over here and say we want to be combining uh the the data marks uh dactric diacritical marks I don't know I can't say that but anyways we want this thing over the top here so that's the one so it's the combining overline and I'm going to say okay boom and so there we have it so now you got the x bar all right so then so that ones could be useful a lot of these are going to be greek letters so so sigma uh I think one way you can do the sigma is you can actually type an s because it's a greek s apparently I'm not a greek specialist here but and then you can put in a symbol up top uh or you can type in up top here symbol to change the font and it makes it a it makes it a sigma so that's one way you can do it so that's probably the easiest way but the thing that probably comes to mind first is to enter the symbol insert symbol more symbols and now you want the the greek stuff over here greek and coptic so we're going to say that this is going to be I already have it down here but let's see if I can find it for us up top doneday uh it's all right I finally found it it's like finding what it's like finding Waldo over here or whatever the guy with the hat and the funny striped so here it is boom so there we have that one and so you can do that a couple different ways and let's make that a little larger and then sometimes you might want to have the squared so I can do the same thing so I'm going to say insert symbol and now it's in my favorites so I can do a sigma insert that and then to make it squared one way you can do that is you can put a two next to it see now it changed hold on a sec uh so then I said what I did right there is I said undo so it tried to predict what I wanted it to do and I didn't want it to do that so I hit undo and so now it's just a sigma and a two I'm going to select that two now right click on it and so it's not in the right click you go up once you can go up to the top uh in the home tab and then I want to make it a superscript so here's the one uh the superscript boom so that puts it up top there now if you're in excel you can right click and format the not the cell but just like that one thing and if you right click on it and format it then you'll find that superscript as like a check box so that's how you can get that one we'll see that symbol in future presentations and then a mu is actually an a greek m apparently so I could choose a greek m and I could choose make this the font a symbol and not that's not right symbol and then it's not doing it symbol there it is and it changes it to a mu so I could do that or of course I can find it in my greek letters up top so I can go up into the insert symbol and more symbols and now I'm in uh the normal text Greek and Coptic and now I'm looking so I already have the mu down here but again let's see if we can find it up top for us another world's Waldo search because I can't I don't know my greek alphabet I apologize but I there it is of course it's right there next to the to the thingy right there all right so let's insert that one I knew that I know what I'm talking about with the greek alphabet let's make it large and so so there we have that now so those are just you know some of the symbols that we'll be using when we'll when we take a look at some of our equations and it's quite nice to be able to type out say an equation in this type of format in excel or something like that and then take that equation and break it out possibly in excel like like either with a function to do it quite easily in excel or you can put it in like a table type of format which is quite nice or again you might you might it might be still valuable to break it out you know algebraically which possibly you could do in excel but that would be easier possibly to do still on a by hand type of process