Final answer:
To find the mean of the data summarized in the given frequency distribution, calculate the midpoint of each class interval, multiply by frequency, and find the sample mean. Compare it to the actual mean of the degrees.
Step-by-step explanation:
To find the mean of the data summarized in the given frequency distribution, we need to first calculate the midpoint of each class interval by adding the lower and upper class limits and dividing by 2. Then, we multiply each midpoint by its corresponding frequency. Next, we add up all the products and divide by the sum of the frequencies to find the sample mean.
Once we have the calculated mean, we can compare it to the actual mean of the degrees. If the computed mean matches the actual mean, we can consider it accurate. If not, we need to recheck our calculations.
Based on the options provided (a) 53.6, (b) 55.2, (c) 56.4, and (d) 58.7, we don't have enough information to determine the correct answer.