Problem

Question
The values and relative frequencies for a set of data are shown below.
Complete the cumulative relative frequency table.
Provide your answer below:
\begin{tabular}{|c|c|c|}
\hline Data Value & Relative Frequency & Cumulative Relative Frequency \\
\hline 1 & 0.24 \\
\hline 2 & 0.32 \\
\hline 3 & 0.17 \\
\hline 4 & 0.27 \\
\hline
\end{tabular}

Answer

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Answer

So, the cumulative relative frequencies are \(\boxed{0.24, 0.56, 0.73, 1.0}\).

Steps

Step 1 :The given data values are 1, 2, 3, and 4 with corresponding relative frequencies of 0.24, 0.32, 0.17, and 0.27 respectively.

Step 2 :The cumulative relative frequency is calculated by adding each frequency from a frequency distribution table to the sum of its predecessors.

Step 3 :For the first data value 1, the cumulative relative frequency is the same as its relative frequency, which is 0.24.

Step 4 :For the second data value 2, the cumulative relative frequency is the sum of its relative frequency and the previous cumulative relative frequency, which is \(0.24 + 0.32 = 0.56\).

Step 5 :For the third data value 3, the cumulative relative frequency is the sum of its relative frequency and the previous cumulative relative frequency, which is \(0.56 + 0.17 = 0.73\).

Step 6 :For the fourth data value 4, the cumulative relative frequency is the sum of its relative frequency and the previous cumulative relative frequency, which is \(0.73 + 0.27 = 1.0\).

Step 7 :So, the cumulative relative frequencies are \(\boxed{0.24, 0.56, 0.73, 1.0}\).

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