Final answer:
Relative frequencies are calculated as percentages. They represent the proportion of the frequency of a specific event to the total number of outcomes in a dataset, often translated into a percentage for ease of interpretation. The correct answer is option a. ranges
Step-by-step explanation:
Relative frequencies are calculated as percentages. A relative frequency is a statistical measure used to show the ratio of the number of times a certain event occurs to the total number of outcomes in a data set. To calculate the relative frequency, you divide the frequency of a specific event by the total number of data values in the sample. Let's consider an example where we have a frequency of a particular event as 5 and the total number of events is 100. The relative frequency would be calculated as 5 divided by 100, which gives us 0.05. This can also be expressed as a percentage by multiplying 0.05 by 100, resulting in a 5% relative frequency.
Relative frequency distributions incorporate the relative frequencies of all samples in a study. These frequencies can be used to understand how often certain events occur in relation to the whole set of events. Moreover, to tally up how often an event has occurred by a certain point, we use cumulative relative frequency. This is calculated by adding the relative frequencies of all the events that came before the current one.
Example of Relative Frequency Calculation:
If we have 100 data values and the event we're interested in has occurred 17 times, the relative frequency would be 17/100 which equals 0.17. As a percentage, this would be 17%.