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: Find the value

Since $i = 15$ is an integer, the $p$ - th percentile is the average of the $i$ - th and $(i + 1)$ - th ordered data values. Order the data values from smallest to largest. The 15th value in the ordered list is $0.96$ and the 16th value is $0.96$. The average of $0.96$ and $0.96$ is $\frac{0.96 + 0.96}{2}=0.96$.

Answer:

$0.96$