Question

use the accompanying radiation levels (in $\frac{w}{kg}$) for 50 different cell - phones. find the percentile $p_{30}$. $p_{30}=square\frac{w}{kg}$ (type an integer or decimal rounded to two decimal places as needed.)

Explanation:

Step1: Calculate the index

First, use the formula $i = \frac{p}{100}n$, where $p = 30$ (the percentile we want to find) and $n = 50$ (the number of data - points). So, $i=\frac{30}{100}\times50=15$.

Step2: Arrange the data in ascending order

The data is already assumed to be in ascending - order (since we are finding a percentile).

Step3: Determine the value of the percentile

Since $i = 15$ is an integer, the $p_{30}$ is the average of the 15th and 16th ordered data values. Looking at the ordered list of 50 data - points, the 15th value is $0.93$ and the 16th value is $0.95$. Then $P_{30}=\frac{0.93 + 0.95}{2}=0.94$.

Answer:

$0.94$