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

To find the median from a grouped frequency table, the best approach is to count through the cumulative frequency to determine the median category, as outlined in the correct choice.

First, you calculate the total frequency by adding up all the frequencies in the table. The median is the value that lies in the middle of this total frequency. To find which category contains the median, you would identify the median position, which is typically located at (total frequency + 1) / 2.

Next, by creating a cumulative frequency table, you keep a running total of the frequencies. You then compare the median position with the cumulative frequencies to find the point at which the cumulative total meets or exceeds the median position. The category in which this occurs is the median category.

Once you identify the median category, you can use the midpoint of that category to approximate the median value if necessary. This method allows for an efficient and systematic way to pinpoint the median without needing to know each individual data point within the grouped intervals.