How do you find the median class from a histogram?

To find the median class from a histogram, identify the class interval containing the middle value of the data.

In more detail, the median class is the class interval where the cumulative frequency reaches or exceeds half of the total frequency. First, calculate the total frequency by summing up the frequencies of all the class intervals. Then, find half of this total frequency, which is the median position.

Next, create a cumulative frequency table by adding the frequencies of each class interval sequentially. Start from the first class interval and keep a running total of the frequencies. The class interval where this cumulative frequency first equals or exceeds the median position is your median class.

For example, if you have a histogram with class intervals and their corresponding frequencies, and the total frequency is 50, the median position is 25 (since 50 divided by 2 is 25). If the cumulative frequency reaches 25 in the third class interval, then the third class interval is the median class.

Remember, the median class is not necessarily the class with the highest frequency; it is the class where the cumulative frequency reaches the median position. This method helps you to understand the distribution of data and locate the central tendency within a grouped frequency distribution.