College

Find the upper quartile for the data:

(35, 40.1, 31.8, 25.4, 39.5, 17.4, 27.6, 28, 26.6, 27.1)

A. 33
B. 35
C. 33.7
D. 37.9

Answer :

To find the upper quartile, we first apply the following equation:

[tex]Q=\frac{3}{4}(n+1)[/tex]

Where n is the size of the dataset. In this case, there is 10 numbers, then:Q

[tex]Q=\frac{3}{4}(10+1)=\frac{3}{4}(11)=8.25[/tex]

Then the upper quartile is the 8th number in the data set. The numbers must be ordered:

[tex]17.4,25.4,26.6,27.1,27.6,28,31.8,35,39.5,40.1[/tex]

The 8th number is 35. Hence the answer is C. 35

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