Tammy is taking a self-paced math class. Her scores for each of the 17 quizzes during the academic year are shown below. Complete the grouped ralative frequency distribution for the data. (Note that we are using a class width of 6.) Write each relative frequency as a decimal rounded to the nearest hundredth, not as a percentage.
\begin{tabular}{|lllll|}
\hline \multicolumn{5}{|c|}{ Quiz score } \\
\hline 73 & 73 & 71 & 80 & 77 \\
85 & 89 & 87 & 85 & 87 \\
81 & 84 & 88 & 72 & 89 \\
86 & 75 & & & \\
\hline
\end{tabular}
\begin{tabular}{|c|c|}
\hline Quiz score & \begin{tabular}{c}
Relative \\
frequency
\end{tabular} \\
\hline 66 to 71 & \\
72 to 77 & \\
78 to 83 & \\
84 to 89 & \\
\hline
\end{tabular}

Step 1 ：Given the quiz scores of Tammy, we are asked to find the relative frequency of the scores in each of the given ranges. The relative frequency is calculated by dividing the count of scores in each range by the total number of scores.

Step 2 ：First, we need to count the number of scores in each range. The ranges are 66 to 71, 72 to 77, 78 to 83, and 84 to 89.

Step 3 ：Upon counting, we find that there is 1 score in the range 66 to 71, 5 scores in the range 72 to 77, 2 scores in the range 78 to 83, and 9 scores in the range 84 to 89.

Step 4 ：Next, we divide each count by the total number of scores to get the relative frequency. The total number of scores is 17.

Step 5 ：Doing the division, we find that the relative frequencies for the ranges 66 to 71, 72 to 77, 78 to 83, and 84 to 89 are \(\frac{1}{17}\), \(\frac{5}{17}\), \(\frac{2}{17}\), and \(\frac{9}{17}\) respectively.

Step 6 ：Converting these fractions to decimals rounded to the nearest hundredth, we get 0.06, 0.29, 0.12, and 0.53 respectively.

Step 7 ：Final Answer: The relative frequencies for the quiz scores in the ranges 66 to 71, 72 to 77, 78 to 83, and 84 to 89 are \(\boxed{0.06}\), \(\boxed{0.29}\), \(\boxed{0.12}\), and \(\boxed{0.53}\), respectively.