Like the previous example then we ignore that when we look at the first and second half or at least that's the I'm literally just looking at first half it's gonna be five numbers, second half is gonna be five numbers. Going to be these five numbers and it makes sense 'cause To be those five numbers and then the second half is Left 10 in the first half and I can include this Where I calculated the median using the middle two numbers, I can now include this Median is going to be 10 and in a case like this Well, the average of 10 andġ0 is just going to be 10. The median using two numbers, it's going to be halfway between them. Like it's these two 10s here because I have four to the left of them and then four to the right of them and so since I'm calculating So to calculate the median, I'm gonna have to look at Let's see, I have one, two, three, four, five, six, seven, eight, nine, 10 numbers. It's already in order so I could immediately get, I can immediately startĬalculating the median.
This album has seven songs, this album has nine, this album has nine and the way I wrote it, Wrote this data like this so we could see, okay, Have, I used those already and then we have an album with 14 songs. We have two 12s, two 12s and then finally, we Let me write those, we have two nines then we have three 10s. One album with seven songs I guess you could say. The data in a different way but we could write thisĪgain as an ordered list so let's do that. Songs on each album in Shane's collection and so let's see what's going on here and like always, I encourage Find the interquartile range of the data in the dot plot below. The middle of the second half minus the middle of the first half which is going to be equal to eight. So the interquartile rangeįor this first example is going to be 13 minus five. To calculate the interquartile range, I just have to find the differenceīetween these two things. I have the middle of the second half, 13. Two which is equal to 13 but an easier way for numbers like this, you say hey, 13 is right exactly
#Define interquartile range in math plus
If you took 12 plus 14 over two, that's going to be 26 over The average of 12 andġ4 is going to be 13, is going to be 13. I'm gonna look at the middle two numbers. You can imagine it right over there and then the middle of the second half I'm gonna have to do the same thing. So the average of four and six, halfway between four and six is five or you could say four plus six is, four plus six is equal to 10 but then I wanna divide that by two so this is going to be equal to five. Middle two numbers here and I'm gonna take their average. Using the middle two numbers so I'm gonna look at the So we're gonna ignore the median here and just look at these first four numbers and so out of these first four numbers, since I have an even number of numbers, I'm gonna calculate the median It's a measure of spread, how far apart all of these data points are and so let's figure out the Left and four to the right and the interquartile range is all about figuring out the difference between the middle of the first half and the middle of the second half. I have an odd number of numbers here and it's going to be the number that has four to the leftĪnd four to the right and that middle number, the I have one, two, three, four, five, six, seven, eight, nine numbers so there's going to be So the first thing we wanna do is figure out the median here. There doesn't seem toīe an eight or a nine but then we get to a 10 and then we get to 11, 12. So then there is a sixĪnd then there's a seven. Then I have another four and then I have anotherįour and let's see, are there any fives? No fives but there is a six. You could just drag these, you could just click andĭrag these numbers around to sort 'em but I'll just do it by hand. Alright, so let's first sort it and if we were actually doing this on the Khan Academy exercise, Range of the data set and I encourage you to do thisīefore I take a shot at it. Sort the data from least to greatest and then find the interquartile
The following data points represent the number of animal crackers I'm just gonna solve it on my scratch pad. Let's get some practice calculating interquartile ranges and I've taken some exercises from the Khan Academy exercises here.
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