Question 4, 5.C.24
HW Score: $31.17 \%, 2.18$ of 7 points
Part 1 of 5
Points: 0 of 1
Use 8-point bins ( 92 to 99,84 to 91 , etc.) to make a frequency table for the data set below. Include columns for relative frequency and cumulative frequency.
\begin{tabular}{lllllllllll}
71 & 92 & 75 & 81 & 74 & 85 & 78 & 98 & 76 & 77 \\
97 & 87 & 76 & 78 & 95 & 68 & 81 & 93 & 71 & 88
\end{tabular}

Step 1 ：First, organize the data into the 8-point bins. The bins will be as follows: 68-75, 76-83, 84-91, 92-99.

Step 2 ：Next, count the number of data points in each bin to get the frequency.

Step 3 ：Then, calculate the relative frequency by dividing the frequency of each bin by the total number of data points. For example, the relative frequency of the bin 68-75 is \(\frac{4}{20} = 0.20\), meaning that 20% of the data points fall into this bin.

Step 4 ：Finally, calculate the cumulative frequency by adding up the frequencies as we move down the table. For example, the cumulative frequency for the bin 68-75 is 4, meaning that 4 data points fall into this bin or any bin before it.

Step 5 ：The frequency table is as follows: \begin{tabular}{|c|c|c|c|} \hline Bin & Frequency & Relative Frequency & Cumulative Frequency \\ \hline 68-75 & 4 & 4/20 = 0.20 & 4 \\ 76-83 & 6 & 6/20 = 0.30 & 10 \\ 84-91 & 4 & 4/20 = 0.20 & 14 \\ 92-99 & 6 & 6/20 = 0.30 & 20 \\ \hline \end{tabular}