Question

use the accompanying radiation levels (in $\frac{w}{kg}$) for 50 different cell - phones. find the percentile corresponding to $1.10\frac{w}{kg}$. click the icon to view the radiation levels. the percentile corresponding to $1.10\frac{w}{kg}$ is (round to the nearest whole number as needed.)

Explanation:

Step1: Sort the data (already sorted in the given list).

There are $n = 50$ data - points.

Step2: Use the percentile formula $L=(k/100)\times n$, where we want to find the position of the value $1.10$ in terms of percentile. First, count the number of values less than or equal to $1.10$.

Counting the values less than or equal to $1.10$ in the list: There are 20 values less than or equal to $1.10$.

Step3: Calculate the percentile.

The percentile $P$ is given by $P=\frac{\text{Number of values less than or equal to the given value}}{\text{Total number of values}}\times100$. So, $P=\frac{20}{50}\times100 = 40$.

Answer:

40