How do you find the mode from a grouped frequency table?

To find the mode from a grouped frequency table, it is essential to identify which class interval contains the highest frequency. The reason for this is that the mode is defined as the value that appears most frequently in a data set. In the context of a grouped frequency table, instead of individual data points, we work with intervals or classes.

By focusing on the column that represents frequency, you can locate the interval where the frequency is at its maximum. This interval indicates the range within which the mode lies. After identifying this interval, additional steps can be taken to estimate the mode more precisely, but the key first step is recognizing which interval has the highest frequency, as this will lead you to the mode of the data set.

Other methods, such as looking at the lowest interval, calculating the median, or averaging all frequencies, do not lead to finding the mode directly and fail to target the central concept behind mode calculation in grouped data. The emphasis on frequency provides a clear path to identifying the most common values represented in the table.