In Exercises 21–28, use the same list of Sprint airport data speeds (Mbps) given for Exercises 17–20. Find the indicated percentile or quartile.

P60

The data given contains a set of 50 airport data speeds (in Mbps).

The percentileof a value indicates the location of the value relative to all the other observations.

The data value corresponding to a given percentile is calculated in the following steps:

Here, L is the locator of the value;

k is the percentile of the value;

n is the total number of values.

Sort the values from the smallest to the largest, andenumerate the total number of observations.

$$\begin{gathered} L=\frac{k}{100}\times n \\ =\frac{60}{100}\times 50 \\ =30 \end{gathered}$$

As L =30 is a whole number, locate the 30^th and the 31^st observation from the sorted data, and divide their sum by 2, which is 2.4 and 2.5, respectively.

The data value (x) is computed as follows:

$$\begin{gathered} x=\frac{{30}^{th}obs+{31}^{st}obs}{2} \\ =\frac{2.4+2.5}{2} \\ =2.45 \end{gathered}$$

Therefore,the data speed corresponding to the 60^th percentile is 2.45 Mbps.