But it gets a little complicated when just very little. Very little when you end up having an even number of data values. So let's look at that. Let's look at the six quiz scores that we've been studying since 3.1 and let's find the median here. Where, again, the first step is to write them in order from smallest to largest: 19, 20, 24, 27, 28, and 30. Now, when you have an even number of data values, the way that you find the median is you need to then gather the two middle values. So, the way that we'll identify median here is you then gather the two middle values. Why? Because there is no single number that's in the middle. Alright, when you have six data values, half or below, half or below, there's nothing in the middle. So, what you do is you grab the two middle values, and you take their average, meaning you add them together, you divide by two. And in this case, doing that math will give us 51 over two, or 25.5. So, the median is 25.5. Now, here's the thing, guys. Just like mean, you can calculate median using your graphing calculator. Let's go back and remember these quiz scores are already in your calculator. Go to "Stat", go to "Edit". And let's remember, I told you to keep these quiz scores in "List 1". And here's the cool part, guys. You can literally find median using the same exact calculator function of "1-VarStat" that we use to find mean. So, let's do that. Let's do that. Going into our calculator, let's go to "Stat", let's toggle, go to the right to "Calc", and let's do "1-VarStat". Our data is in "List 1", so you do "2nd" and then "1" and enter to hit calculate. I wanted us to find median and you're like, "Shannon, wait a minute. Median, 25.5? I don't see that number anywhere." Don't fret. Scroll down, alright? Use the toggle down button. Use the toggle down button. And can you tell me what three letters are representing the median here? What three letters are representing median on the graphing calculator? Yeah, me. And it's the same value. And so bottom line is that when it comes to these two sections, 3.1 and 3.3, knowing how to enter in data and use "1-VarStat" is going to give you three for the price of one: mean, standard deviation, and now median. So, just like with mean, just like with standard deviation, you are going to be expected to interpret median as well. And guys, here's the awesome thing. If you look at this template, it's the exact same template as mean. Why? Because mean and median are both representing center. Mean and median are both representing what will typically happen. What is the typical quiz score? The typical quiz score is 25.5 points. And so what I want you to see here is that the interpretation for median is exactly the same idea as mean. What I want you guys to see is ultimately mean and median have two things that are the same. First, they both are going to use the same calculator function. Mean and median are both going to use "1-VarStat" to find mean and median. And the second thing I want you to note is that mean and median are both going to have the same interpretation. Alright? So literally, this template, this template which is emphasizing typical, is the same interpretation for mean and median. I want to emphasize the calculator work and the interpretation are exactly the same for mean and median, which again begs the question then, "Shannon, why are you teaching us both? Why did you teach us median? Why did you teach us mean?" And it's all because of the context of the shape of your data. Remember, when your histogram of your data is symmetric, that's when you use mean. Versus when the graph of your data is skewed, that's when you use median. And so what I want you to see is that it's really the first step of the shape of the graph is what matters, but yet the calculations "1-VarStat", the interpretation, literally the template, both use the same ideas. Alright, let's try this idea one more time in example two. In example two, we have another data set of CO2 emissions per capita. Now, I took this data set and I plugged it into your graphing calculator and I made this histogram. And what I want to do is I want to use the shape of this histogram to determine which center we are going to use. So, first step, first step is you actually need to identify what is the shape of this histogram. So, tell me, tell me below, what is the shape of this histogram? Right, alright, cool. We're seeing here the shape of this histogram is skewed, right? And so now, now using everything that we have learned, when your graph is skewed, which center will we use? Will we use the mean or will we use the median to explain the typical value? Which one will I use? Yeah, I'm going to use median. When your graph is skewed, you're going to use median to explain what is the typical value. So, I'll give you guys a moment then to interpret this median in this template sentence. Alright, take a moment to do the interpretation. The two big things I want you to take away from this example is everything that's colored. You guys probably noticed that by this point, that when your graph is skewed, you use median, and that median is interpreted by the word typical.