Question

use the accompanying radiation levels (in \\( \frac{w}{kg} \\)) for 50 different cell phones. find the percentile corresponding to 0.64 \\( \frac{w}{kg} ). the percentile corresponding to 0.64 \\( \frac{w}{kg} ) is (round to the nearest whole number as needed.)

Explanation:

Step1: Sort the data

Sort the 50 radiation - level values in ascending order. The given data is already in a somewhat sorted - like format.

Step2: Use the percentile formula

The formula for the $p$th percentile is $L=(n + 1)\times\frac{p}{100}$, where $n = 50$ (the number of data values) and we want to find the percentile corresponding to a particular value. First, count the number of values less than or equal to $0.64$. There are 7 values less than or equal to $0.64$.
The percentile $P$ is calculated as $P=\frac{\text{number of values less than or equal to the value}}{\text{total number of values}}\times100$. So, $P=\frac{7}{50}\times100 = 14$.

Answer:

14