# 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.

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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dominicsheq8
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,
$\text{Percentie Rank}=\left(\frac{10+\left(\frac{1}{2}\cdot 5\right)}{27}\right)\cdot 100\phantom{\rule{0ex}{0ex}}=46.30$
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