Hello. Everyone in this video. We're going to use the five number summary and a box plot to look at the statistics Of 14 California counties. First we'll look for the median of our 14 counties. So be the 7th and 8th position 123456 seven and eight. So the average of these two numbers will be a number in the middle which is five. Let's write that down. U. two or the medium is equal to five. Next we'll find quartile one which is half of the first half. So if we have seven on the seven numbers on the left side We'll look for the 4th position 1234. This would be our quartile one. Yeah I once equals to 4.4 Next to find quarter to three on behalf of the second half And also the 4th position 1234. So 5.8 will be our 4003. Now to find like you are or the inter quartile range, be quartile three minus quartile one. So we have 5.8 runners, 1.4 which is 1.4 it's a little bigger. Low, too big. But right here now to interpret The inter cartel range of 1.4, this represents that 50% of our data are within At 1.4 unit. A measurement for example, you can show this visually, we draw a line here and I'll line here. So from 4 to 4.4 that represents 25% of our data and from 4-5, that's 50% of our data Because it's 25% on each section. So For the inter quartile range between 4.4, 5.8, that is 50% of our data. Next, we'll move on to the five number summary, which is our minimum Or lowest number four, of course No. 4.4 A medium five 43. and our Max 6.5. Okay, next we'll move on to the upper and lower limits. This represents the lower limit represents um It's a formula that will help us find low outliers and the formula for upper limit help us find high outliers. So if we were to look at lower limits first, lower limit is Without 1 4.4 1.5 times 1.4 which is our inter quartile range. This should give us the 0.3, bigger. Put this right here because we're here now for upper limit we have oops upper limits which is 5.8 us 1.5 times 1.4. That should give us 7.9. We'll start with the lower limit. First to interpret this. Any number below 2.3 will be considered an outlier. If we were to look at our data, our lowest is four. So there are no low outliers. Next took an upper limit 7.9. Any number above 7.9 will be considered a high outlier height is 6.5. So we have no outliers. Next, we'll look at the box and whiskers to visualize Both are outliers which we have none and our portals. Please give me 1 2nd to draw a graph. Here's our graph. I'll make this slightly bigger. I'll cover this for now. Also showing the numbers as you can see if we retreat these lines. The first black line as the first blue line, 4.4 This is quarter to one. The Red Line represents Quartile two at 5. Quartile three is at 5.8 and our two ends are two whiskers. A left whisker represents our minimum number of four, And in the right, Whisker represents our maximum of 6.5, with no outliers indicated by any um bread, uh stars or crosses. Similarly, Our box plot also matches are five Number summary.