 numbers being represented the 100 average is the same in this case as the median they are 50 the 75 the 125 and the 150 125 and the 150 okay so now i think i put it underneath here let's go to data set b so here's our two data sets again i'm focused on let's just open data set b this time so now if i look at data set b the average if i took the average and added up data set b i once again get to 100 which is the same as what we had for data set a i'll just open both of these so they come out the same it's like okay well that's kind of weird because the data sets are clearly different right these are different data sets pretty dramatically different so if i go to to the men i get to the same number so it's like whoa is this like this am i is this just the same numbers the same data set let's take a look at quartile one if i took quartile one for data set b versus data set a i get the same number which is like that's weird and then the median if i look at the median i get the same number the middle point and then if i look at the quartile three again i get the same number down here and then if i look at the maximum i get the same number and if i was to then do the do a box plot because i got all the same numbers you would think the box plot would basically look the same so here's the box plot for data set b that we saw versus data set a now if i look at the histograms they they do show us the difference right so the box plot isn't giving us because this is that kind of five numbers but the histogram does give us that because it gives us that kind of middle point so the histogram gives us an idea if i break it out in the histogram i'm saying well these are substantially different when i think about these data sets in terms of how the data is spread around that middle point so you can see here you've got that middle point you know looking looking more like a you know the the curve in the middle it's popular more the data sets in the middle and then they they spread out this way on the right hand side and the middle point or the average and and the median both coming out to be a 100 and here somewhere down here although you get the same median and average there is nothing in this middle point and the data is still over to the side but we still get all the same numbers we still get the same average we still get the same you know middle number even and the quartiles now this isn't likely that you're going to get all the same numbers right this is a pretty specially designed data set so all of these numbers line up but you can get the idea here the idea is that these numbers although quite important useful to be calculating don't always give you everything you need especially with regards possibly to the spread of the data like around the center point which is going to be our point of focus when we get to things like the standard deviation and the variance so these two box plots you can see are exactly the same for data B and data A and then the histograms do give us that indication and so our focus is in on on this kind of concept right now with the spread which we want to be able to summarize it would be nice numerically if we could as well as well as pictorially with like a histogram and so we'll get into some calculations based which will be the you know the standard deviation and the variance in future presentations