What is the difference between "percentile" and "percentage"?

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With the definition of the word "percentile" I found this exemple: "Ninety percent of the values lie at or below the ninetieth percentile, ten percent above it." What does it mean?

AND what is the difference between "percentile" and "percentage"

Lalneagra
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Suppose 100 people take a test of 50 items.

If one of them got 40 of the items correct, then the percentage that he got correct is 80. He got 80 percent of the items correct.

But we don't know what percentile he is in until we see what scores the other 99 people got.

Suppose that all 99 of those other people got only 60% (or fewer) of the items correct. Then the person who got 80% did better than all other 99 people. He did better than 99% of the whole group of 100, so he is in the 99th percentile.

CJ
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lalneagraWith the definition of the word "percentile" I found this exemple: "Ninety percent of the values lie at or below the ninetieth percentile, ten percent above it." What does it mean?AND what is the difference between "percentile" and "percentage"Lalneagra
Interesting. Here is my two cents on the difference between percentile and percentage.

A percentile is only used as a comparison score. E.g. if you score in the 90th percentile, you scored better than 90 out of 100 people who took the test. (The reason I said 100 people is because the definition of percentile is normally best described with a data of 100 samples but, opinions may vary.Emotion: smile)

It turns out that the number of a percentile gives you only the idea of how good/bad you did as compared to other people. It does not represent the number of questions you answered correctly, i.e. we have no idea of what is the percent of your score from the number of percentile that you're in.

Percentage, on the other hand, means something like this:

If you answered 16 out of 20 questions correctly in a test, then the score of your mark can be represented either using fraction (16/20=4/5) or percentage (16/20 *100% =80%).

Hope this helps. Emotion: smile

Isabelle
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AvangiAs an aside, I'm not sure "refrain" takes an object. I'd probably use "restrain."
As my grammar and vocabulary leave too much to be desired, I'll definitely follow your word choice.Emotion: smile
AnonymousIf there are three people in class.1. Ramu got 40 marks out of 70marks2.Ravi got 463. raju got 30Then percentile of Ramu is 40/46*100[each individual/highest]percentage is 40/70*100[each individual/total]
Hi,
First, let me define these terms: 'Percentile' and 'Percentile rank'.
Percentiles are most often used for determining the relative standing of an individual in a population. It split a set of ordered data into 100 equal parts AND it's a common measure of location used in a large samples, e.g. 50,000 scores on a standardized test.
A percentile rank is used to show an individual's standing relative to other individuals in the population.
And what you're asking about is percentile rank.

Now, let's try one example that consists of 12 data.
The math test scores of 12 students were 40, 56, 62, 65, 70, 70, 85, 88, 89, 90,98, 99.
Find the percentile rank for the scores of 65 and 70 on this test.
The score of 65 is at
={[(number of scores below 65)+(0.5 x number of scores equals 65)]/total number of scores} x 100
={[(3)+(0.5 x 1)]/12} x 100 number of scores below 65=40,56,62; there is only one score of 65; total number of scores= 12
=29.1667
=29th percentile

The score of 70 is at
={[(number of scores below 70)+(0.5 x number of scores equals 70)]/total number of scores} x 100
={[(4)+(0.5 x 2)]/12} x 100 number of scores below 65=40,56,62,65; there are 2 scores of 70's; total number of scores= 12
=41.6667
=42th percentile

On the other hand, the 60th percentile
= (60/100) x (total number of scores+1)th observation
= (60/100) x (12+1)th observation
= 7.8th observation (It lies between 7th and 8th observations)
= 7th observation + (0.8 x the difference between 7th and 8th observations)
= 85 + (0.8 x the difference between 7th and 8th observations)
= 85 + (0.8 x {88-85})
= 87.4

Now, go back to your problem with only three scores, hmm, what can we conclude from there? I don't think we should use the idea of percentile in this particular problem because applying percentile to a small sample size would be a hardship for us. I guess we can only say Ramu (Since Ramu is your concern) secured second place with a score of (40/70 x 100=57.14% Yes, you did it right.) on the test.

Isabelle
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Crystal clear. Thanks

Lalneagra
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Why is "he" not in the 100th percentile and in the 99th percentile?! I thought you said he did better than all the other 99 people!
Full Member156
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how it is different from ranks
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Because there are only 100 people.
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hm.. This is a statistics-related term actually. Best answer is best. Emotion: smile

Sumie
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CalifJimSuppose that all 99 of those other people got only 60% (or fewer) of the items correct. Then the person who got 80% did better than all other 99 people. He did better than 99% of the whole group of 100, so he is in the 99th percentile.
How many percentiles are there? Anyway? Emotion: thinking
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I am not sure of the exact definition, but I was always taught to think the following:-
percent/percentage is an Amount out of a hundred.
percentile is a Location within a group of a hundred
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