Based upon the information shown in this frequency distribution, which one of the following is the value of the cumulative relative frequency for the fourth class?

To determine the cumulative relative frequency for the fourth class in a frequency distribution, you need to understand the concept of cumulative frequency. This is the sum of the relative frequencies for all classes up to and including the specified class.

In a frequency distribution, each class has an associated frequency, and the relative frequency is calculated by dividing the frequency of the class by the total number of observations. The cumulative relative frequency for the fourth class includes the relative frequencies of the first four classes summed together.

If the calculation results in a cumulative relative frequency of .712 for the fourth class, this means that 71.2% of the data falls within this class and all the preceding classes combined. Such a value is particularly useful for understanding how data is distributed across categories and for identifying thresholds in the dataset.

It's essential to visualize how the cumulative sum builds up as you move through the classes. The cumulative relative frequency increases or remains the same as you incorporate additional classes. Thus, .712 reflects the total relative frequency captured by the first four classes, making it the correct answer in this context. This understanding allows practitioners to interpret data distributions effectively and make informed analyses based on cumulative data trends.