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# Quartiles, Deciles, Percentiles

Range of numbers:
13 13 13 20 26 27 31 34 34 34 35 35 36 37 38
41 41 41 45 47 47 47 50 51 53 54 56 62 67 82

What is the first and third quartile?
What is the second decile and the eighth decile?
What is the 67th percentile?

#### Solution Preview

Finding quartiles, deciles and percentiles
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Range of numbers
13 13 13 20 26 27 31 34 34 34 35 35 36 37 38
41 41 41 45 47 47 47 50 51 53 54 56 62 67 82

What is the first and third quartile.
What is the second decile and the eighth decile.
What is the 67th percentile.

A quartile contains ΒΌ of the observations. Similarly, a decile contains 1/10, and a percentile contains 1/100.

There are 30 observations, so the second quartile (the median) can be found by splitting the lists into two groups of 15. The middle number of the first group of 15 is the 1st quartile value. The middle number of the second group of 15 is the 3rd quartile.

The 1st quartile is 34 and the 3rd is 50.

You find the deciles by dividing the list of numbers ...

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