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NAME DATE PERIOD Lesson 3 Homework Practice Box Plots Draw a box plot for each set of data. 1. ages of children taking dance classes: 10, 8, 9, 7, 10, 12, 14, 14, 10, 16 6 8 10 12 14 16 18 2. Prices,
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— Voice over So I have a box and whiskers plot showing us the ages of students at a party. And what IN#39’m hoping to do in this video islet a little of practice interpreting this. And what I have here are five different statement sand I want you to look at these statements. Pause the video, look at these statements, and think about which of these, based on the information in the box and whiskers plot, which of these are for sure true, which of these are for sure false, and which of these we're done#39’t have enough information, it could go either way. Alright, so let#39’s work through these. So the first statement is that all the students are less than 17 years old. Well we see, over here, that the maximum age, that#39’s the right end of this right whisker is 16. So it is the case that all the students airless than 17 years old. So this is definitely going to be true. The next statement. At least 75% of the students are 10 years old or older. So, when you look at this, this feels right, because 10 is, 10 is the value that is at the beginning of the second quartile. This is the second quartile over there. And actually, let me do this, let me do this in a different color. So, this is the second quartile. So 25% of the value of the numbers are in the second, or roughly, sometimes it#39’s not exactly, so approximately, IN#39’ll say roughly 25×are going to be in this second quartile, approximately 25% are going to be in the third quartile, and approximately 25% are going to be in the fourth quartile. So it seems reasonable for saying 10 years old or older that this is going to be, this is going to be true. In fact, you could even have a couple of values in the first quartile that are 10. But to make that a little more tangible, let#39’s look at some, so IN#39’m feeling, IN#39’m feeling good that this is true, but let#39’s look a few more examples to make this a little more concrete. So they're done#39’t know, we're done#39’t know, based on the information here exactly how many students are at the party. We#39’ll have to construct some scenarios. So we could do a scenario, let#39’s see if we can do... We could do a scenario where well let#39’s see, let#39’s see if I can, I can construct something where, let#39’s see, the median is 13. We know that for sure. The median is 13, so if I have an odd number, I would have 13 in the middle, just like that, and maybe I have three on either side. And IN#39’m just making that number up. IN#39’m just trying to see what I can learn about different types of data sets that could be described by this box and whiskers plot. So 10 is going to be the middle of the bottom half. So that#39’s 10 over there. And 15 is going to be the middle of the top half. That#39’s what this box and whiskers plot is telling us. And they of course tell us what the minimum, the minimum is seven. And they tell us that the maximum is 16. So we know that#39’s seven and then that is 16. And then this, over here, could be anything. It could be...
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