The reason there is no 100th percentile is because you cannot score higher than yourself or higher than 100 % you achieved the highest score available so you are considered the 99th percentile because 99% of the rest of the people scored lower than you. There is no 100th because there is nothing higher than 100 to give it an extra percentile to compare it to.
Euclid wrote:
Can someone explain why there is no 100th percentile? I am having trouble articulating this.
If there are 25 scores in a class, and I received the highest, than I feel like it is correct to say that I am in the (25/25) = 1 = 100th percentile.
However, I KNOW that I am incorrect...what is the flaw in my logic?
Any explanation would be greatly appreciated...
Thats because the percentile of your score is based on how many other people you were above. so if you were above all the rest of your classmates (25 in total and including you) then you beat 24 other people and puts you in what ever 24/25 percentile is(dont have a calculator on hand) you can never be the 0th or 100th percentile because you cannot outscore or underscore yourself.
Christina wrote:
The reason there is no 100th percentile is because you cannot score higher than yourself or higher than 100 % you achieved the highest score available so you are considered the 99th percentile because 99% of the rest of the people scored lower than you. There is no 100th because there is nothing higher than 100 to give it an extra percentile to compare it to.
damn didnt even read 2nd page and christina beat me by 5 minutes i tip my imaginary hat to you.
captainwildcat wrote:
Even if you had the top score and that score was perfect you didn't do better than yourself.
then how come you hear about people outdoing themselves
Being in the 99.99 percentile would mean that you are in the top 0.01% of the sample/population.
Being in the 100.0 percentile would mean that you are in the top 0.00% of the sample/population.
0% of X is not 1, it is 0.
Hope that helps.
Euclid wrote:
Can someone explain why there is no 100th percentile? I am having trouble articulating this.
If there are 25 scores in a class, and I received the highest, than I feel like it is correct to say that I am in the (25/25) = 1 = 100th percentile.
However, I KNOW that I am incorrect...what is the flaw in my logic?
Any explanation would be greatly appreciated...
The simple answer is this:
The people who teach math to us incorrectly teach us that the base 10 numbers are 1,2,3,...10. In fact, they base 10 numbers are 0,1,2...9
The 0th percentile is 0-1
...
The 99th percentile is 99-100
It's simple. If you got the best out of 25 you did better than 24/25 (you cannot include yourself since you did not do better than yourself). You are in the 96th percentile(24÷25).If you got the best out of 100 you did better than 99/100. You are in the 99th percentile. If you got the best out of 1000, you did better than 999/1000. You are in the 99.9th percentile(scores will usually round down to per CENT not per MILLI making you in the 99th percentile. Beat out 9999/10000? Easy 99.99th percentile. It goes on and on but you can never hit 100th percentile, even if your score was 100%.
If you still cannot grasp this concept then hey! Don't even worry...because you're not in the 99th percentile anyway! Cheers!
Reading this a little late, but I'll bite...
Getting back to basics, it's best to revisit "quantile" definitions. However, therein lies the problem; there is NO single accepted standard definition. Even statistical software, for example SAS, offers you to calculate quantiles using one of 5 definitions. So before you begin you need to accept the definition you are comfortable with.
I’ve always taken the view that quantiles are points, not ranges. They represent the points that divide a data set equally. There are 3 quartiles which have the effect of creating 4 ranges. There are 9 deciles creating 10 ranges and 99 percentiles creating 100 ranges. Because of this, there is no 100th percentile. Some software does reference the 0th and 100th percentiles BUT this is simply the software equating them to be the mathematical minimum and maximum respectively.
With your particular example; it’s problematic BECAUSE you have fewer values than percentiles. There are 2 possible reasons you have be on the 100th percentile:
1. It has been equated to equal the maximum value (which is not a true percentile as discussed above)
2. It is the result of a rounding calculation…due to
Christina wrote: The reason there is no 100th percentile is because you cannot score higher than yourselfWhat if you take the test twice?
(continued)
With your particular example; it’s problematic BECAUSE you have fewer values than percentiles. There are 2 possible reasons you have be on the 100th percentile:
1. It has been equated to equal the maximum value (which is not a true percentile as discussed above)
2. It is the result of a rounding calculation…due to
It is a grouping.
Everyone that is in the top 1% of scores is in the 99th percentile.
You are all better than 99% of the others.
Bad Wigins wrote:
captainwildcat wrote:Even if you had the top score and that score was perfect you didn't do better than yourself.
then how come you hear about people outdoing themselves
Indeed. And how does giving 110% factor into all this?
There is no 100 percentile logically.
you have scored 25/25 in the exam. That is your individual score. Percentile tells you about your performance compared to the whole class, and not your own score.
Your percentile is calculated based on the number of students below you, divide that by total number of students, and multiply by 100.
So that will be = (24/25)*100 = 96 percentile.
Therefore your score is 100 percent but you have got 96 percentile.
Thank you.
Why would someone answer to a thread 2 years old and then give an answer which was already given multiple times then?
That persons intelligence level is in one of the lower percentiles definitely.
awesomeness... wrote:
just like counting 0-1 is 1. 1-2 is 2, etc so 99-100 would be the 99th percentile...
Proof by induction FAIL
Phil Fondacaro wrote:
Christina wrote: The reason there is no 100th percentile is because you cannot score higher than yourself
What if you take the test twice?
Bekele is literally the 100th percentile runner ever in the world. His 10,000m wr is testiment to that. He done the 26:20 wr and then the 26:17 himself so he is better then his own previous wr and everyone else in the world(including everyone here).
I had it explained to me this way. In a room with 100 people in it, if you're in the 99th percentile, you'd be expected to outperform 99 of them.