So let's see, one, two, three, four, five, six, seven, eight. Well we could do something like, let's say that we have eight. And we could try it out with other, other scenarios where. And so 75% are 10 or older, well, this value, in this case, six out of seven are 10 years old or older. Similarly, this couldīe 13, it could be 14, it could be 15, and so any of those values wouldn't change it. It wouldn't change thisīox and whiskers plot. It wouldn't change what these medians are. It could be 10, it could be 11, it could be 12, it could be 13. So we know that's sevenĪnd then that is 16. Us what the minimum, the minimum is seven. I'm just trying to see what I can learn about different types of data sets that could be described by Middle, just like that, and maybe I have three on either side. I have an odd number, I would have 13 in the We could do a scenario where well let's see, let's see if I can, I can construct something So we could do a scenario, let's see if we can do. So they don't know, we don't know, based on the information here exactly how many students are at the party. But to make that a little more tangible, let's look at some, so I'm feeling, I'm feeling good that this is true, but let's look a few more examples to make this a little more concrete. In fact, you could even have a couple of values in the first Saying 10 years old or older that this is going to be, this is going to be true. To be in the third quartile, and approximately 25% are going to be in the fourth quartile. Numbers are in the second, or roughly, sometimes it's not exactly, so approximately, I'll say roughly 25% are going to be in this second quartile, approximately 25% are going And actually, let me do this, let me do this in a different color. This, this feels right, because 10 is, 10 is the value that is at the beginning At least 75% of the studentsĪre 10 years old or older. So it is the case thatĪll of the students are less than 17 years old. Here, that the maximum age, that's the right end of That all of the students are less than 17 years old. Have enough information, it could go either way. The box and whiskers plot, which of these are for sure true, which of these are for sure false, and which of these we don't Pause the video, look at these statements, and think about which of these, based on the information in And what I have here areįive different statements and I want you to lookĪt these statements. And what I'm hoping to do in this video is get a little bit of (These quarters are not one-fourths I'm using the term "quarters" very loosely here.A box and whiskers plot showing us the ages of These five points mark the data set into quarters, called "quartiles". So we have five points: the first middle point (the median), the middle points of the two halves (what I've been calling the sub-medians), and the smallest and largest values in the list. That is, to find the sub-medians with an odd number of values in our list, we only look at the values that have not yet been used. If we have an odd number of values, so the first median was an actual data point, then we do not include that value in our sub-median computations. Note: If we have an even number of values, so the first median was the average of the two middle values, then we include the middle values in our sub-median computations (that is, in our computations for Q 1 and Q 3). (These are the "whiskers" from the name for this plot.) From the center of the segment for Q 1, draw a line to the segment for the smallest data point draw another line from Q 3 to the segment for the largest point.(This is the "box" from the name for this plot.) Join the ends of the segments for Q 1 and Q 3, forming a box with Q 2 inside of the box.On an appropriately-labelled graph, draw line segments marking the smallest value in the data set, the largest value, and the three values Q 1, Q 2, and Q 3.Name these values Q 1 and Q 3, respectively. Find the median of each of the lower and upper halves of the data.List the data points in numerical order, smallest to greatest.To create a box-and-whisker plot, we follow just a few simple steps: Box-and-Whisker Plots How to create a box-and-whisker plot
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