Now, with the box plot right over here, so I'm not gonna click histogram. So I don't know here, and so I can't really make a list of the running times of the films and find the middle values, so I don't think I'm gonna be able to do it using the histogram. Its running time might have been 81 minutes, its running time might have been 84 minutes. So here, I don't know, they say I have one film that's between 80 and 85, but I don't know its exact running time. And the key here is, for a median, to figure out a median, I just need to figure out a list of numbers. Now, what about the histogram? This is the histogram right over here. So the dot plot, I could definitely use to find the median. I could write out the entire list, and then I could find the middle values. I could write down 81, and then write down 92, then write down 93, then write down 95, then I could write down 96 twice, and then I could write down 98, then I could write down 100. So I claim that I could use this to figure out the median, because I could make a list of all of the running times of the films, I could order them, and then I could find the middle value. We see two had running times of 96 minutes, and so on and so forth. So one film had a running time of 81 minutes. So over here we see, this is the dot plot. All right, so let's look at these displays. Which display could be used to find the median? To find the median. The statistician made a dot plot, each dot is a film, a histogram, and a box plot to display the running time data. A statistician recorded the length of each of Pixar's first 14 films. Sense of both the median and the spread of our data.- What I wanna do with this video is look at some examples of data represented in different ways, and think about which representation is the best, or can help us answer different questions? So we see this first example. That, we have the range that goes well beyond that or howįar the total spread of our data is. Have a plot like this, just visually, youĬan immediately see, OK, what is the median? It's the middle of And I can do this in a differentĬolor that I haven't used yet. The box and whisker plot essentially show us And then our boxes,Įverything in between, so this is literally the The third quartile from the fourth quartile. Halfway between, well, halfway between 10 and 15 is 12.5. Separating the first quartile from the second quartile, theįirst quarter of our numbers from the second That we would attempt to represent with the box. Represent this data right over here, so the data between the We want to think aboutĮssentially represents the middle half of our data. Want to think about- there's several ways to draw it. Out all of the information we need to actually Mean of these two numbers, 11 plus 14 is 25. Numbers are going to be this 11 and this 14. Looking for a median, you have two middle numbers. Than these two, three numbers greater than it. So the two middle numbersĪre this 2 and this 3, three numbers less Median of these numbers? Well, we have 1, 2, 3, 4,ĥ, 6, 7, 8 data points. So if we look at this firstīottom half of our numbers essentially, what's the Separately at this set and look separately at this set. Take our median out and have the sets that are left over. Now, when we're trying toĬonstruct a box and whisker plot, the convention is, Numbers larger than it and 8 numbers smaller than it. Straightforward to find the middle of our Take the median of something, it's really helpfulĪttempting to order our data. And to do that, we need toĬome up with the median. So let's actually try toĭraw a box and whisker plot. So what a graph capturesīoth of that information? Well, a box and whisker plot. Of graph he should create, that might be a littleīit more straightforward than the actual creation of the Should he create? So the answer of what kind That people traveled or that people travel. The spread of distances and the median distance Spread of the distances- this is a key word. Wants to find out more about where his patronsįollowing distances traveled.
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