How do you calculate the cumulative frequency for a data set?

How do you calculate the cumulative frequency for a data set?

• A. Multiply each frequency by the total number of values.
• B. Add each frequency to the sum of all preceding frequencies.
• C. Subtract each frequency from the total number of values.
• D. List each frequency as a percentage of the total.

Answer: (B)

To calculate the cumulative frequency for a data set, you add each frequency to the sum of all preceding frequencies. This process involves starting with the first frequency and accumulating the total as you move through the list of frequencies. For instance, if the first frequency is 5 and the second frequency is 3, the cumulative frequency for the second data point would be 5 + 3, resulting in 8. This method continues for all frequencies, allowing you to see the running total of occurrences up to each point in the data set, which is particularly useful for understanding distributions and analyzing the data more effectively. The other methods, such as multiplying frequencies, subtracting from the total, or representing frequencies as percentages, do not accurately represent the concept of cumulative frequency and do not provide the running total needed for meaningful analysis.

To calculate the cumulative frequency for a data set, you add each frequency to the sum of all preceding frequencies. This process involves starting with the first frequency and accumulating the total as you move through the list of frequencies. For instance, if the first frequency is 5 and the second frequency is 3, the cumulative frequency for the second data point would be 5 + 3, resulting in 8. This method continues for all frequencies, allowing you to see the running total of occurrences up to each point in the data set, which is particularly useful for understanding distributions and analyzing the data more effectively.

The other methods, such as multiplying frequencies, subtracting from the total, or representing frequencies as percentages, do not accurately represent the concept of cumulative frequency and do not provide the running total needed for meaningful analysis.