How to Calculate Median of Grouped Data?

The steps followed to calculate median of grouped data are discussed as follows:

Step 1: First, we find out the total number of observations by summing up all the frequencies.

Step 2: Then, we need to find the median class, i.e. the class having cumulative frequency just greater than half of total number of observations.

Step 3: Now, we note the values of lower limit of median class (l), frequency of the median class (f), cumulative frequency of the class preceding median class (cf), and class size (h).

Step 4: Next, we can substitute these values in the formula to calculate median of grouped data, i.e.

Median = l + ((n/2-cf)/f)×h

Below are some examples that will help you understand above mentioned steps to find the Median of Grouped Data in a better way.

Median of Grouped Data is the value of the middlemost data point in any dataset when dataset is grouped. For ungrouped data, it is easy to find the median but finding the Median of Grouped Data is slightly complex. When we have any data in statistics, we try to find some basic parameters related to it which provide ease in data interpretation and making further predictions related to data. To measure the central tendency of data, i.e., a single value that can be used to represent an entire distribution, we generally have three parameters: mean, median, and mode.

In this article, we will discuss what is meant by Grouped Data and Median of Grouped Data. We will also learn about the Formula for Median of Grouped Data and steps to calculate the Median of Grouped Data, solved examples, and some frequently asked questions as well.