Question

use the accompanying radiation levels (in \\( \frac{w}{kg} \\)) for 50 different cell phones. find the percentile corresponding to 1.32 \\( \frac{w}{kg} ). the percentile corresponding to 1.32 \\( \frac{w}{kg} ) is (round to the nearest whole number as needed.) radiation levels 0.25 0.28 0.31 0.50 0.60 0.62 0.62 0.68 0.77 0.84 0.87 0.87 0.91 0.92 0.93 0.95 0.97 1.01 1.06 1.08 1.09 1.09 1.11 1.12 1.13 1.15 1.17 1.18 1.18 1.19 1.20 1.24 1.27 1.27 1.28 1.29 1.30 1.30 1.30 1.31 1.32 1.33 1.39 1.42 1.43 1.45 1.46 1.46 1.46 1.47

Explanation:

Step1: Sort the data

The data is already sorted in the given list of radiation - levels.

Step2: Use the percentile formula

The formula for the percentile \(P\) of a value \(x\) in a data - set of size \(n\) is \(P=\frac{\text{number of values less than or equal to }x}{n}\times100\). Here, \(n = 50\). Count the number of values less than or equal to \(1.32\). By counting the values in the list \(0.25,0.28,\cdots,1.32\), we find that there are \(40\) values less than or equal to \(1.32\).

Step3: Calculate the percentile

$$P=\frac{40}{50}\times100 = 80$$

Answer:

80