Answer:
9.05
Step-by-step explanation:
There are 49 numbers in total here. Let's put them in order:
0.1,0.2,0.2,0.4,0.4,0.4,0.4,0.4,0.5,0.6,0.6,0.6,0.6,0.6,0.8,0.8,0.9,1.1,1.3,1.4,1.5,1.7,1.9,2.2,2.3,2.5,2.6,2.8,3.9,3.9,4.3,4.7,5.4,6.1,7.1,7.9,8.2,9.9,10.6,10.6,11.2,11.7,12.4,13.2,13.2,14.7,14.9,15.5,15.5
The Upper Quartile (Q_3) or 3rd quartile is the 75%th mark.
So,
The upper quartile is the (3/4)(n+1)th number, here n is 49, so we get:
[tex]\frac{3}{4}(n+1)\\=\frac{3}{4}(49+1)\\=\frac{3}{4}(50)\\=37.5[/tex]
This means the upper quartile is the average of 37th number and 38th number:
(8.2+9.9)/2 = 9.05
