Question

use the accompanying radiation levels \\( \left \frac{w}{kg} \
ight \\) for 50 different cell phones. find the percentile \\( p_{25} \\)
\\( p_{25}=\frac{w}{kg} \\) (type an integer or a decimal. do not round)

Explanation:

Step1: Calculate the position of the percentile

The formula for the position of the \(P_{k}\) percentile is \(i=\frac{k}{100}\times n\), where \(k = 25\) (for \(P_{25}\)) and \(n=50\) (the number of data - points).

$$i=\frac{25}{100}\times50=12.5$$

Step2: Find the \(P_{25}\) value

When \(i\) is not an integer, we round up to the next integer. Here, \(i = 12.5\), so we round up to \(i = 13\).
We order the data (the data is already ordered in the given list). The 13th value in the ordered list of 50 radiation levels is \(0.89\).

Answer:

\(0.89\)