Question

use the accompanying radiation levels \\( \left( \text { in } \frac { w } { k g } \
ight) \\) for 50 different cell phones. find the percentile corresponding to \\( 0.63 \frac { w } { k g } \\).
click the icon to view the radiation levels.
the percentile corresponding to \\( 0.63 \frac { w } { k g } \\) is
(round to the nearest whole number as needed.)

Explanation:

Step1: Count the number of values less than or equal to \(0.63\)

We go through the data set. The values less than or equal to \(0.63\) are \(0.26,0.28,0.29,0.46,0.57,0.58,0.59,0.63\). The number of these values \(x = 8\).

Step2: Use the percentile formula

The formula for the percentile \(P\) is \(P=\frac{x}{n}\times100\), where \(n = 50\) (the total number of data points).
Substitute \(x = 8\) and \(n=50\) into the formula: \(P=\frac{8}{50}\times100\).

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Answer:

\(16\)