Step 1 Given The following table represents the Frequency Distribution and Cumulative Distributions for this data set: 12, 13, 17, 18, 18, 24, 26, 27, 27, 30, 30, 35, 37, 41, 42, 43, 44, 46, 53, 58

Step 2

Relative Frequency ${R}_{f}={F}_{i}\text{}\sum (F)$ Cumulative Frequency = It is the cumulative sum of frequency.

$\begin{array}{|ccccc|}\hline \text{Class}& \text{Frequency}& \text{Relative Frequency}& \text{Cumulative Frequency}& \text{Percentage}\\ \text{10-19}& 5& 0.25& 0.25& 25\\ \text{20-29}& 4& 0.2& 0.4545\\ \text{30-39}& 4& 0.2& 0.65& 65\\ \text{40-49}& 5& 0.25& 0.9& 90\\ \text{50-59}& 2& 0.10& 1& 100\\ \text{TOTAL}& 20\\ \hline\end{array}$

What is the Relative Frequency for the class: 20 but less than 30? Answer : 0.20