Question

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

Explanation:

Step1: Recall percentile formula

The $P_{k}$ percentile of a data - set with $n$ values is found using the formula $L=\frac{k}{100}\times n$, where $L$ is the locator. Here, $k = 50$ and $n=50$.
$L=\frac{50}{100}\times50 = 25$.

Step2: Determine the value of the percentile

When $L$ is an integer, the $P_{k}$ percentile is the average of the $L$ - th and $(L + 1)$ - th ordered data values. The 25 - th value in the ordered data set is $1.15$ and the 26 - th value is $1.16$.
$P_{50}=\frac{1.15 + 1.16}{2}=\frac{2.31}{2}=1.155$.

Answer:

$1.155$