Percentiles (Leaving Cert Mathematics): Quizzes

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Percentiles
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What does a percentile indicate in a data set?

The relative standing of a data point

The 50th percentile is also known as what?

The median

What percentage of data lies below Q1 (the first quartile)?

25%

What percentage of data lies below Q3 (the third quartile)?

75%

How many equal parts do percentiles divide data into?

100 parts

What is the first step in calculating a percentile?

Arrange data in ascending order

In the formula P=p100×(n+1)P = \frac{p}{100} \times (n + 1), what does nn represent?

The number of data points

What should you do if the position PP is not an integer?

Take average of two closest points

For n=9n = 9, what position does the 25th percentile occupy using P=p100×(n+1)P = \frac{p}{100} \times (n + 1)?

2.5

For data 4, 8, 12, 16, 20, what is the 50th percentile?

12

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