Median Calculator

Determining the median is a fundamental idea in statistics and is crucial for grasping the central tendency of a dataset. Regardless of whether you are a student, researcher, data analyst, or simply involved with numerical data, the median assists you in identifying the middle value of any sorted list.

What Is the Median?

The median is the value that lies exactly in the middle of a dataset when the numbers are arranged from smallest to largest.

It divides the dataset into two halves:

• 50% of values lie below the median

• 50% of values lie above the median

The median is especially helpful when:

• The dataset contains outliers.

• The distribution is skewed

• You want a more robust measure of central tendency compared to the mean

Median Formula

For Ungrouped (Raw) Data

First, arrange the data in ascending order.

If n is odd:

If n is even:

$$\text{Median =}\frac{{\left(\frac{n}{2}\right)}^{\text{th}}\text{term +}{(\frac{n}{2}+1)}^{\text{th}}\text{term}}{2}$$

Here, n = Number of observations or values in a dataset.

For Grouped Data (Continuous Frequency Distribution)

$$\text{Median =}L+\left(\frac{\frac{N}{2}-\mathrm{CF}}{f}\right)\times h$$

Where:

• L = Lower boundary of the median class
• N = Total frequency
• CF = Cumulative frequency of the class before the median class
• f = Frequency of the median class
• h = Class width

How to Find the Median Using Our Calculator?

• Enter the values separated by a comma.
• Click “Calculate” and the tool automatically computes the Median.