use the accompanying radiation levels (in $\frac{w}{kg}$) for 50 different cell phones. find the percentile…
use the accompanying radiation levels (in $\frac{w}{kg}$) for 50 different cell phones. find the percentile corresponding to 1.38 $\frac{w}{kg}$. click the icon to view the radiation levels. the percentile corresponding to 1.38 $\frac{w}{kg}$ is . (round to the nearest whole number as needed.) radiation levels 0.20 0.20 0.29 0.48 0.61 0.62 0.64 0.67 0.76 0.81 0.90 0.91 0.93 0.95 0.95 0.95 0.97 1.03 1.06 1.10 1.11 1.12 1.14 1.14 1.14 1.16 1.16 1.17 1.17 1.18 1.20 1.22 1.23 1.24 1.28 1.28 1.29 1.30 1.32 1.33 1.35 1.38 1.40 1.40 1.42 1.44 1.44 1.48 1.50 1.55
Answer
Explanation:
Step1: Sort the data
The data is already sorted in ascending - order as given: 0.20, 0.20, 0.29, 0.48, 0.61, 0.62, 0.64, 0.67, 0.76, 0.81, 0.90, 0.91, 0.93, 0.95, 0.95, 0.95, 0.97, 1.03, 1.06, 1.10, 1.11, 1.12, 1.14, 1.14, 1.14, 1.16, 1.16, 1.17, 1.17, 1.18, 1.20, 1.22, 1.23, 1.24, 1.28, 1.28, 1.29, 1.30, 1.32, 1.33, 1.35, 1.38, 1.40, 1.40, 1.42, 1.44, 1.44, 1.48, 1.50, 1.55
Step2: Calculate the position
The formula for the percentile $P$ of a value $x$ in a data - set of size $n$ is $L=\frac{k}{100}\times n$, where $k$ is the percentile we want to find and $n$ is the number of data points. First, we count the number of values less than or equal to 1.38. There are 40 values less than or equal to 1.38 in the data - set of $n = 50$ values. The formula for the percentile rank is $P=\frac{\text{Number of values less than or equal to }x}{n}\times100$. Substitute the values: $P=\frac{40}{50}\times100$.
Step3: Compute the result
$P = 80$
Answer:
80