Answer:
The first step on this case is order the dataset on increasing way, and after do this we got:
11 14 15 16 17 17 18 19 21
We have a sample size of n =9
And in order to find the 75th percentile we need to find the position for this percentile with this formula:
[tex] n_{75} = 0.75* 9= 6.75\approx 7[/tex]
So then we can conclude that the 75th percentile would be approximately on the 7 position of the dataset ordered and we got:
[tex] x_{75} = 18[/tex]
Step-by-step explanation:
For this case we have the following data:
16 17 11 21 15 14 17 18 19
The first step on this case is order the dataset on increasing way, and after do this we got:
11 14 15 16 17 17 18 19 21
We have a sample size of n =9
And in order to find the 75th percentile we need to find the position for this percentile with this formula:
[tex] n_{75} = 0.75* 9= 6.75\approx 7[/tex]
So then we can conclude that the 75th percentile would be approximately on the 7 position of the dataset ordered and we got:
[tex] x_{75} = 18[/tex]