Question

use the accompanying radiation levels (in $\frac{w}{kg}$) for 50 different cell phones. find the percentile corresponding to 0.91 $\frac{w}{kg}$. click the icon to view the radiation levels. the percentile corresponding to 0.91 $\frac{w}{kg}$ is (round to the nearest whole number as needed.) radiation levels 0.24 0.29 0.33 0.48 0.61 0.61 0.61 0.67 0.76 0.82 0.88 0.88 0.89 0.90 0.91 0.96 0.96 1.01 1.07 1.10 1.11 1.11 1.11 1.15 1.15 1.15 1.16 1.16 1.18 1.20 1.24 1.25 1.26 1.27 1.27 1.29 1.29 1.29 1.31 1.32 1.33 1.35 1.39 1.41 1.43 1.44 1.46 1.49 1.52 1.54

Explanation:

Step1: Arrange data in ascending order

The data is already in ascending - order as shown: 0.24, 0.29, 0.33, 0.48, 0.61, 0.61, 0.61, 0.67, 0.76, 0.82, 0.88, 0.88, 0.89, 0.90, 0.91, 0.96, 0.96, 1.01, 1.07, 1.10, 1.11, 1.11, 1.11, 1.15, 1.15, 1.15, 1.16, 1.16, 1.18, 1.20, 1.24, 1.25, 1.26, 1.27, 1.27, 1.29, 1.29, 1.29, 1.31, 1.32, 1.33, 1.35, 1.39, 1.41, 1.43, 1.44, 1.46, 1.49, 1.52, 1.54.

Step2: Use the percentile formula

The formula for the position of the $p$ - th percentile in a data - set of size $n$ is $L=\frac{p}{100}\times n$. Here, $p$ is the percentile we want to find and $n$ is the number of data points. Given $n = 50$ and $p$ is the percentile corresponding to the value 0.91. First, we count the number of values less than or equal to 0.91. There are 15 values less than or equal to 0.91.
The formula for the percentile $P$ is $P=\frac{\text{number of values less than or equal to the value}}{\text{total number of values}}\times100$.
$P=\frac{15}{50}\times100 = 30$.

Answer:

30