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List a set of 10 numbers in ascending order that satisfy the following_Median = 4, Mode = 3, Range = 10, IQR = 3...

Question

List a set of 10 numbers in ascending order that satisfy the following_Median = 4, Mode = 3, Range = 10, IQR = 3

List a set of 10 numbers in ascending order that satisfy the following_ Median = 4, Mode = 3, Range = 10, IQR = 3



Answers

Create a list of numbers whose mean, median, and mode are all 10.

So as to find the mean, immediate and mode for a given set of values. So it's pretty easy. So let's go over what the mean media and mode is. The main is basically the average right. So to find the mean, all we're gonna do is add everything up and divide by how many there are. Let's go ahead and do that. So maybe nine plus six plus eight plus one plus three plus four plus five plus tube for six plus eight plus four with nine plus 12 plus three plus four plus 10 plus seven plus six. And there are +123456789 10 11 12 13 14 15 16 17 18 values they're 18 values. So this is all over 18. What is that equal? What we go and put that my calculator. This yields 5.94 So that is our meat. So now I don't want to do is look at the media and the median is the value that occurs the most right or should be the media is the value that is right in the middle when the, uh when they're ordered, the mode is the value that occurs the most. Let's go ahead. Do the mode first. So we'll do that right here. Mode. So what? By Christmas? Let's see, I'm just gonna go ahead and skim this. Nice. Easy. It was six Security a lot and see. 123 What else secures a lot? Maybe 412 threes. Those the time. I think that's it. So the mode we seize, actually six and four. So I say 604. Last thing I'm gonna do is the media, Gedeon. The media is simply Well, we put the numbers from lowest to highest. And then, uh, we just slice off one on each side and we get the highest. Let's go ahead, do it together. So our Lois is obviously one. So one and then our next is too. All right, then. Three. Okay, we have two threes. So we put three twice and then four. And we have four fours. Or should be a 34123 And then five when we have won five. Well, six, we have three sixes. So we put that three times. Okay. After 67 we have 17 and then eight. We have two eights and then how many nines You have? Two nines and argued Elise, and we have 1 10 and a 12. So now we're gonna go ahead and do. Is this start slicing the signs? So I think I just like this 1223456789 10 11 12 Ring foes 13 14 And we get that. The media is six. So we get the media. It's six. So let's recap. Our mean is 5.94 Our mode is six and four. So that's six common foreign. Our median is six.

Okay, We need six different numbers with the median of 10. And so what's really important here is six is an even number. Meaning when you cross things out and, like, try to get to the middle number, there's actually gonna be two middle numbers. And so 10 is You could do 10 and 10 which would be really boring. But, um, let me do a slightly more interesting one. Let's just do eight and 12 because 10 is right in the middle of eight and 12. If I add up eight plus 12 I get 20 in. If I divide that by two, I get that median of 10. And so let me just put two numbers over here to numbers over there to get our list of six numbers. It doesn't even matter. It could be 17 as long as they're bullet weight and it doesn't matter here. It could be 13 or 105. I mean, it really doesn't matter. As long as the middle two numbers are eight and 12 that median will be 12. So here's my 6178 12 1300 fat

So using your tea I calculator. If you put that list of numbers in the list so stat edit, and then you can input all those numbers and then stack couch number one. We'll give you the mean, which is X bar of 4.36 If you scroll a little farther down, that will give you the median. That would be three and just looking at the list, looking to see which one appears the most you can find the mood, and that should be one.

So here we are, given a data set, were asked to find the main median and mode of this given set, which is 10 12 2015 and 20. So first, to find the main, which is X bar, is able to x y, which are data points over and which is our number. So here we would add up 10 plus 12 plus 20 plus 15 plus 20. And then divide that by five. Forget this a mean value of 15.4. Mhm, mhm. Next we want to find the median. Yeah, yeah, which is the middle value. So we're going to want to add our Liston in order from greatest police. So we have 20 15, 2 twenties, 15, 12, 11, 10. So here are median is 15. Yeah, and last. We want to find the mode, which is just the most. It's a good way to think of it. So again, listing out our data set, you can see that the only number that really repeats is 20. So our mode will be 20 Mhm


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