Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 57.7 degrees. \begin{tabular}{l|ccccc} Low Temperature $(\circ \mathrm{F})$ & $40-44$ & $45-49$ & $50-54$ & $55-59$ & $60-64$ \\ \hline Frequency & 2 & 6 & 13 & 5 & 3 \end{tabular} The mean of the frequency distribution is degrees. (Round to the nearest tenth as needed.) Which of the following best describes the relationship between the computed mean and the actual mean? A. The computed mean is close to the actual mean because the difference between the means is less than $5 \%$ of the actual mean. B. The computed mean is not close to the actual mean because the difference between the means is more than $5 \%$ of the actual mean. C. The computed mean is close to the actual mean because the difference between the means is more than $5 \%$ of the actual mean. D. The computed mean is not close to the actual mean because the difference between the means is less than $5 \%$ of the actual mean.

Step 1 ：First, we need to find the midpoint of each temperature range by averaging its lower and upper bounds. The midpoints are \(42.0, 47.0, 52.0, 57.0, 62.0\).

Step 2 ：The frequencies for each temperature range are \(2, 6, 13, 5, 3\). The total frequency is \(29\).

Step 3 ：We then multiply each temperature range's midpoint by its frequency and sum these products to get \(1513.0\).

Step 4 ：The computed mean is found by dividing the sum of the products by the total frequency, which gives approximately \(52.2\) degrees.

Step 5 ：The actual mean is given as \(57.7\) degrees.

Step 6 ：We calculate the difference between the computed mean and the actual mean to be approximately \(5.5\) degrees.

Step 7 ：We express this difference as a percentage of the actual mean, which gives approximately \(9.6\%\).

Step 8 ：Finally, we compare this percentage to \(5\%\). Since \(9.6\%\) is more than \(5\%\), the computed mean is not close to the actual mean.

Step 9 ：Thus, the best description of the relationship between the computed mean and the actual mean is: The computed mean is not close to the actual mean because the difference between the means is more than \(5\%\) of the actual mean.

Step 10 ：So, the final answer is \(\boxed{B}\).