Percentiles (Leaving Cert Mathematics): Flashcards

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Percentiles
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Definition of a percentile

Value below which pp% of data falls

Q1 (first quartile) as a percentile

25th percentile

% of data below Q1

25%

Q2 alternative name

Median or 50th percentile

% of data below Q3

75%

How many equal parts percentiles divide data into

100

First step to calculate a percentile

Arrange data in ascending order

Formula for percentile position

P=p100×(n+1)P = \frac{p}{100} \times (n + 1)

In percentile formula, what is PP?

Position of percentile in ordered data

In percentile formula, what is pp?

Desired percentile (e.g., 25 for 25th)

In percentile formula, what is nn?

Number of data points

What to do if PP is not an integer?

Average the two closest data points

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