 # Use the frequency table that you constructed in question number 3 to find the percentile rank. What is the percentile rank of Age of 45. Round up to two numbers after the decimal point in percentile rank. Darryl English 2022-07-22 Answered
Use the frequency table that you constructed in question number 3 to find the percentile rank.
What is the percentile rank of Age of 45. Round up to two numbers after the decimal point in percentile rank.
$\begin{array}{|cccc|}\hline \text{Age}& \text{Frequency = f}& \text{relative Frequency = rf}& \text{Cumulative frequency =>cf}\\ 74-93& 5& \left(5/27\right)=0.185& 27\\ 54-73& 7& \left(7/27\right)=0.259& 22\\ 34-53& 5& \left(5/27\right)=0.185& 15\\ 14-33& 10& \left(10/27\right)=0.370& 10\\ \text{Total}& 27\\ \hline\end{array}$
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Formula for percentile rank:
Percentile Rank
In the given situation,
The given value is 45, which is lies in the age group 34-53.
The frequency of the class 34-53 is 5.
The cumulative frequency of the previous class (14-33) is 10.
And N=27
Therefore, the percentile rank for 45 is,
$\text{Percentie Rank}=\left(\frac{10+\left(\frac{1}{2}\cdot 5\right)}{27}\right)\cdot 100\phantom{\rule{0ex}{0ex}}=46.30$