A cumulative frequency table is useful in determining all of the following measurements: (a) Mean, (b) Median, and (c) Mode.
Here's how each measurement can be determined using a cumulative frequency table:
(a) Mean: The cumulative frequency table can help you calculate the mean (average) by finding the midpoint of the data and using the cumulative frequency values to calculate the weighted average.
(b) Median: The median can be found directly from the cumulative frequency table by locating the middle value or range of values where the cumulative frequency crosses or exceeds half of the total frequency.
(c) Mode: The mode can also be determined from the cumulative frequency table by identifying the class interval with the highest cumulative frequency. The mode is the value or range corresponding to this class interval.
So, the correct answer is (d) All the above measurements.