Final answer:
The correct formula for calculating row relative frequency is 'Row Relative Frequency = Entry / Row Total'. This involves dividing the frequency in each category by the total number of occurrences in the row, and for cumulative relative frequency, adding the previous relative frequencies to the current one.
Step-by-step explanation:
The calculation for row relative frequency in a two-way frequency table involves dividing each entry in a row by the row total. The correct formula from the options given is b) Row Relative Frequency = Entry / Row Total. To determine the row relative frequency for students playing a sport and playing a musical instrument, you would take the number of students (frequency) who fit into each category and divide it by the total number of students in that row. For cumulative relative frequency, you would add all previous relative frequencies to the current row's relative frequency.
For example, if in the first row the relative frequency is .15, then the cumulative relative frequency is also .15. If in the second row the relative frequency is .25, you would add that to the .15 to get a cumulative relative frequency of .40. This same process is followed for each subsequent row to obtain the rest of the cumulative relative frequencies.
Frequency simply counts the occurrences of each category, while relative frequency provides a proportion of that category compared to the total number of occurrences. The sum of all relative frequencies for a data set should be equal to 1 or 100%, but this might vary slightly due to rounding errors in the calculations.