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Q.

How can I find the 75th percentile?

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Detailed Solution

Let’s break down how to find the 75th percentile — one of the most common percentile calculations in exams and data analysis.

First, understand:
The 75th percentile (also called Q3 or third quartile) means that 75% of people scored less than or equal to that score.

Step-by-step method:

  1. Arrange all scores in ascending order.
  2. Calculate: Position = 75 ÷ 100 × N (total number of values).
  3. If this position is a whole number, take the average of that position and the next one. If not, round up.

Example:
If there are 20 students:
Position = (75/100) × 20 = 15.

So, the 15th value in your ordered list is your 75th percentile score.

In exams like JEE or CUET, they calculate percentiles based on number of candidates below your score divided by total candidates × 100 — but the core logic remains the same.

In short:

  • 75th percentile = you’re ahead of 75% students.
  • It signals you’re above-average but not yet at the top decile.
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