Final Answer:
The class width for the given data on tumor recurrence times should be chosen based on the provided options. Among the options, the class width that is most appropriate is (c) 20.
Step-by-step explanation:
The class width in a frequency distribution is determined by the range of the data divided by the number of classes. In this case, the range is the difference between the maximum and minimum values of the tumor recurrence times.
To calculate the range, subtract the minimum value from the maximum value. Once the range is determined, it should be divided by the number of classes to find the class width.
If the range of the tumor recurrence times falls within a multiple of one of the given options (a) 10, (b) 15, (c) 20, or (d) 25, then that option is chosen as the class width. For example, if the range is 150 months, then the class width would be 15 (150 divided by 10).
It is essential to choose a class width that provides a meaningful representation of the data while ensuring that the number of classes is manageable for analysis.
In conclusion, selecting an appropriate class width is crucial in constructing a frequency distribution that accurately represents the distribution of tumor recurrence times. The choice of class width impacts the interpretation of the data and the insights drawn from the frequency distribution.
Therefore, in this context, the most suitable class width is 20, as it aligns with the provided options and facilitates a meaningful representation of the tumor recurrence times.