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ICE Princess25 [194]
3 years ago
13

How do you calculate a the percentage with a given percentile?

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
3 0

Percentage = (your marks/total marks) x 100


For example, if in an exam of 100 marks, you scored 90, then your percentage would be 90%.


Basically your percentage is irrelevant of how the other students have fared in the same exam and it is just a reflection of how well you did individually.


However, percentile is a little different as it is relative. Here the scores of the other students in the same exam is very important to how we calculate a person’s percentile as it gives you the idea of how good/bad you did in an exam.


If I had to summarize percentile in a formula (which will help you calculate the same for any competitive exam that you need),


Percentile = (number of people behind you/total number of people) x 100


For example, if in a class of 100 students, you topped the exam. So what this means is that your score is better than 99 people and hence your percentile is 99%ile. Again, if your rank had been 30th, that means your score is better than 70 people and hence your percentile is 70%ile.


Thus in percentile, the number of people whose score is below you or the number of people your score is better than is your percentile.


I have also covered the same (with a few more examples) in a video whose link I have shared below and while the name of the video might indicate that it could be inclined towards MBA competitive exams, the concept remains the same and is valid for any competitive exam that you appear for.

But in this problem, the variables are the same constants , hence, the percentile and percentage would be equal

Answer ( b )

Hope this helps.

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have a nice day

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Step-by-step explanation:

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Answer:

\large\boxed{x=3-\sqrt{14}\ \vee\ x=3+\sqrt{14}}

Step-by-step explanation:

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3 years ago
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