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Calculate the 2oth percentile of the data shown3.6 8.4 10.3 17 26.7 40.1 45.4 47.1 49.5 49.7 59.1 61.5 66.169.3Submit Question...

Question

Calculate the 2oth percentile of the data shown3.6 8.4 10.3 17 26.7 40.1 45.4 47.1 49.5 49.7 59.1 61.5 66.169.3Submit Question

Calculate the 2oth percentile of the data shown 3.6 8.4 10.3 17 26.7 40.1 45.4 47.1 49.5 49.7 59.1 61.5 66.1 69.3 Submit Question



Answers

Find the percentile rank for each test score in the data set. 12, 28, 35, 42, 47, 49, 50 What value corresponds to the 60th percentile?

So we have 20 pieces of data in this set and instead of listing them all, you can actually go in there and see what is less than or equal to 6.5. Well if you look at the data, there are four That are less than or equal to 6.520 pieces of data, so four divided by 20 Gives us the 20th%ile. 7.7 has nine pieces of data equal to or less than that. And when I reduce that, I get 45th%ile.

All right on the left here we have a graph displaying on the X axis the height of men ages 20 to 29 inches and on the Y axis percentiles corresponding to these heights. This graph represents from left to right the cumulative percent of men ages 20 to 29 which fall under these corresponding heights. So we see on the left at 0% of men fall under 63 inches in height and all the way to the right. 100% of men ages 2029 can be considered to fall at 76 inches or shorter. The question we want to answer using this graph is what percentile on the height of 73 inches. We can obtain this information directly from the graph by mapping where 73 inches falls from the perspective of the X. Axis. As we show here and then mapping that to the corresponding percentile, we see that the bubble representing 73 inches falls just short of 90 percentile. And so we can answer this question as a height of 73 inches corresponding to the 89th percentile. We can further derive meaning from this finding by saying that 89% of men ages 20 to 29 are 73 inches taller or shorter, which we can write as is displayed here.

Mhm. We have here on the left, a graph displaying for men ages 20 to 29 their height versus their percentile. The height on the X axis corresponds to the men's height in inches. And the percentile corresponds to the number of men who fall at a particular height or shorter. So the graph is cumulative from left to right, where at the very left 63 inches, 0% of men are found to fall at or below this height and all the way to the right, 100% of men are found to fall at 76 inches or shorter. The question we want to answer. Looking at this graph is what percentile is the height of 67 inches? We can derive this directly from the graph by mapping what percentile horizontally A height of 67 inches corresponds to. So we can highlight at 67 inches as we do here and then map that onto the percentile as we see from these highlights. The height of 67 inches corresponds to the 20th percentile, and we can further derive meaning from this finding by saying that 20% of men ages 20 to 29 are 67 inches or shorter, as is written in the text here.

Hello Syringe here in this question we have given a data which is 598 12 7 13, 10 and 14. Okay. For this data we need to find the means of the Cuban if you do. And Q three. Okay. Q 1 to 2 to three. Rd quarter into the first quarter. Second quarter and a third quarter. So for finding Cuban to 23. 1st of all, we need to arrange their data in ascending order. Okay? So if we arrange the data in ascending order then it comes out to be 57 89 then 1213 and 14. So this is our data. So first of all we'll find the value of cuba. Okay, Cuban is a lower court. Lower quartile is given by And Plus one x 4 Tom. Okay. And plus one by fourth tom is all lower quality. Okay. So if we see the value of end for this data is eight. Right? There are eight. A number of data's Okay, so the value of N is eight. So if we put here then Q one comes out to be two point tools down. Okay, so this is a fractional town, how we'll find it. What we'll do is We'll take 2nd town as it is. Okay. And plus will multiply it by zero point to fight. That is the remaining part with the third. 3rd Data -2 Data. This is the formula for finding the fractional to barter. It's okay. So the second term is seven plus 0.25 times of the third time, which is eight minus the second damages seven. So quartile one that is lower. Quartile comes out to be 7.25 Okay. Now for the second quarter will just do the same procedure. Okay? Second quarter is also called the meeting of the data but we'll find a better formula of quarter. It's okay. So quartile. Second quarter is given by and plus one by four, multiplied by two. Okay, for one will multiply by one. For second quarter will multiply by two ft are quite I will multiply by three. Okay, so this town will give us the second quarter, so if we put the value of and it comes out to be 4.5, okay, four points of trump believes as the quartile too, so it is also the fictional town. So what we will do is fourth trump Plus 0.5 multiplied by 5th -4 Jump. Okay, this is the formula. So if we look at the data, fourth thomas, 4th time is nine Okay, and the system is 10 So forth, Thomas nine Plus 0.5 Times off. First time is 10 and fourth time is nine. Okay, so it comes out to be 9.5 so cartel to comes out of the 9.5. Okay, now the last part remaining. A Squat L three. Okay. Support squad L three for quartile three. What will be the formula and plus one by four. Multiply by three at this time. Well, diversity quite entry. Now putting the value of and it comes out to be 27 by four. Okay, this time that means it is 6.72. Okay. Now you can easily uh Tell what will be the 6.75 jump. It will be the sixth time plus 0.75 times off. Seventh trump minus the sixth time. Right? This will the formula for 6.7 at the time. So putting the value the sixth time is 12 plus seventh. Tom is 13 and six time is 12. The difference comes out of the one might have a 0.753 by four. So it comes out of the 12.700. Okay, so quartile three is 12.75 Now we need to find the mean of all these quarterbacks. Okay. So I mean of all the squad tiles will be Cuban plus kill. Do plus Q three Divided by three paid. So Cuban was 7.25. Right? And Kyoto was 12.75 and Q three uh, was 9.5. Okay. Sorry. Koda was 9.5 inch of this. 12.75 Okay, divided by three. Now it comes out to be 29.5. If you calculated 29.5, that means me Comes out to be nine point it. Okay, so this is the answer. Thank you.


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