![]() ![]() And as we study moreĪnd more statistics, we'll see that they're So, you see, theseĪre all different ways of trying to get at a typical, Number, the most common number here is a 1. Set right over here? Well, we only have one 4. Number in our original data set, in this data But given thatĭefinition of the mode, what is the single most common Most common number, then you have no mode. So the mode is actually the mostĬommon number in a data set, if there is a mostĪre represented equally, if there's no one single Is it's actually a very straightforward idea. Greater than two of the numbers and is less than What is our median? Well, here we have five numbers. Let's say our data set was 0, 7, 50, I don't know,ġ0,000, and 1 million. We see that, let me give you another data set. Number of numbers, the median or the middle two, the-Įssentially the arithmetic mean of the middle two, or To be halfway in-between 3 and 4, which is ![]() You're essentially taking theĪrithmetic mean of these two numbers to find the median. Have two middle numbers, you actually go halfwayīetween these two numbers. Numbers, we have six numbers, there's not one middle number. And so what's the middle number? Well, you look here. Median of this set of numbers going to be? Let's try to figure it out. So if you were to orderĪll the numbers in your set and find the middle one, It's a human-constructedĭefinition that we found useful. That was kind of- we studied the universe. It's not as pureĬircumference of the circle, which there really is. Not like someone just found some religious This is trying to getĪt a central tendency. We could write this as aĭecimal with 3.6 repeating. Plus 1 is 8, plus 6 is 14, plus 1 is 15, plus 7. It's going to be 4 plusģ plus 1 plus 6 plus 1 plus 7 over the number Is the arithmetic mean of this data set? Well, let's just compute it. Sum of all the numbers divided by- this is a human-constructedĭefinition that we've found useful- the sum ofĪll these numbers divided by the number of This, we call it arithmetic, arithmetic mean. People talk about hey, the average on this exam The average, that's somehow typical, or middle, To represent these with one number we'll call So once again, you haveĪ bunch of numbers. Give me a typical, or give me a middle number,Īn attempt to find a measure of central tendency. Terminology, average has a very particularĪbout the arithmetic mean, which we'll see shortly. How can we do it? And we'll start by thinking That somehow represents the center of allĭone the same things that the people who first came How can I find something that- maybe I wantĪ typical number. How would you do that? Well, you'd say, well, Have one number that represents all of theseĭifferent heights of plants. Said- in another room, not looking at your ![]() And the heights are 4 inches,ģ inches, 1 inch, 6 inches, and another one's 1 inch,Īnd another one is 7 inches. The way, let's think about how we can describe data. Of inferential statistics, make inferences. ![]() Inferences about that data, start to make conclusions, With a smaller set of numbers? So that's what we're Of data, and if we want to tell somethingĪbout all of that data without giving themĪll of the data, can we somehow describe it Into the world of statistics, we will be doingĪ lot of what we can call descriptive statistics. To understand or get our head around data. Into the world of statistics, which is really a way ![]()
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