Answer:
25.8
Step-by-step explanation:
The given data set is
13.6, 14.3, 15.4, 15.7, 16.8, 23.1, 25.8, 26.3, 26.4, 26.7, 29.6, 39.8, 42.7, 43.4, 43.5, 45.8, 47, 47.1, 48.4, 49.7
We need to find the 34th percentile for the given data set.
The given data already arranged in ascending order.
Now, compute the position of the pth percentile (index i).
[tex]i=(\frac{p}{100})\times n[/tex]
It is given that p = 34 and n = 20
[tex]i=(\frac{34}{100})\times 20=6.8[/tex]
The index 6.8 is not an integer, round up. So,
i ≈ 7
It means the number at 7th position is the 34th percentile, i.e., 25.8 .
Therefore, the 34th percentile is 25.8.
