Understanding the Upper Quartile | Math with Mr. J - By Math with Mr. J
Transcript
| 00:0-1 | Welcome to Math with mr J . In this video | |
| 00:05 | , I'm going to specifically be covering the upper quartile | |
| 00:09 | . This is going to give us a better understanding | |
| 00:11 | of what the upper quartile is and represents . It | |
| 00:15 | will also give us a better understanding of core tal's | |
| 00:19 | overall . Now chortled divide datasets into quarters or four | |
| 00:23 | equal parts . The upper quartile is going to be | |
| 00:27 | the 75% mark within our data . So the 75th%ile | |
| 00:33 | , it separates the upper 25% from the lower 75% | |
| 00:40 | . So let's jump into our example to see exactly | |
| 00:43 | what this means and looks like . So we have | |
| 00:46 | nine numbers within our data set here and the first | |
| 00:50 | thing we always want to do is put the data | |
| 00:53 | in order from least to greatest . Also known as | |
| 00:57 | ascending order . In this case we are already in | |
| 01:02 | order so we can move to the next step . | |
| 01:05 | We now need to find the median which is the | |
| 01:08 | middle of our data , the 50th%ile . And since | |
| 01:12 | we have nine numbers within our data set here , | |
| 01:16 | we're going to have four numbers on the left and | |
| 01:19 | four numbers on the right . The number in the | |
| 01:21 | middle is our median and it's going to be this | |
| 01:25 | eight right here . So four numbers on the left | |
| 01:29 | , four numbers on the right and our middle number | |
| 01:32 | there , eight is our median to recap . So | |
| 01:35 | median equals eight . Now , once we have our | |
| 01:43 | median we need to take a look at the upper | |
| 01:46 | half of our data . So these four numbers right | |
| 01:52 | here and we need to find the median or middle | |
| 01:55 | of that upper half . That's going to be our | |
| 01:58 | upper quartile . Now , since we have four numbers | |
| 02:02 | in our upper half , we will not have one | |
| 02:05 | specific number sitting in the middle . We will have | |
| 02:08 | to take a look at the middle two numbers and | |
| 02:11 | find what is in between . And we'll do that | |
| 02:14 | by finding the average between them . So our two | |
| 02:17 | middle numbers 10 And 14th , so we need to | |
| 02:21 | find the average and that's going to give us the | |
| 02:23 | middle or median of that upper half . So down | |
| 02:28 | here I'm going to put Q three equals so Q | |
| 02:33 | three means quartile three . That's the same thing as | |
| 02:37 | upper quartile or 75th percentile , all of those mean | |
| 02:42 | the same thing . So we need to find the | |
| 02:44 | average and we can do that by adding those two | |
| 02:47 | numbers together and then dividing by two . So 10 | |
| 02:52 | plus 14 and then Divide by two . so 10 | |
| 02:58 | plus 14 Gives us 24 and divide by two , | |
| 03:04 | we get 12 . So our upper quartile is 12 | |
| 03:10 | . This means that 75% of our data is less | |
| 03:15 | than 12 and 25% is greater than 12 . So | |
| 03:20 | I'm going to make some marks in our data to | |
| 03:22 | help us visualize and understand all of this and I'll | |
| 03:26 | start with the median which again was eight , so | |
| 03:30 | this was our median , it's the midpoint of our | |
| 03:34 | data . The 50th percentile , it splits our data | |
| 03:38 | in half . Now the upper quartile was between 10 | |
| 03:42 | and 14 at 12 so it lies right here and | |
| 03:49 | without going into detail our lower quartile is going to | |
| 03:53 | be between two and four . I cover that in | |
| 03:56 | another video I'll add that link down in the description | |
| 03:59 | . So those are our quartile is we split our | |
| 04:02 | data into four equal parts one , two , three | |
| 04:11 | and four . So our focus was the upper quartile | |
| 04:16 | which was right there . So to the left of | |
| 04:20 | that We have 75% of our data to the right | |
| 04:27 | of our upper quartile . We have 25% of our | |
| 04:33 | data . So there you have it . There's an | |
| 04:35 | explanation of the upper quartile . I hope that helped | |
| 04:39 | . Thanks so much for watching until next time peace | |
| 04:45 | mm . |
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