Enter the lower class boundary, number of data points, cumulative frequency, frequency of median group, and group interval width to determine the median.

## Histogram Median Formula

The following formula is used to calculate the median of a histogram.

M = L + ( (N/2 - CF) / F ) * C

Variables:

- M is the median of the histogram L is the lower class boundary of the group containing the median N is the total number of data points CF is the cumulative frequency of the group before the median group F is the frequency of the median group C is the width of the group interval

## What is a Histogram Median?

A histogram median is a value that divides a histogram into two equal areas. It is the middle value of a data set, separating the data into two halves. In a histogram, it is represented by the point at which the area under the curve to the left equals the area under the curve to the right. It is a measure of central tendency that gives a good idea of the central location of the data, especially when the data set is skewed or contains outliers.

## How to Calculate Histogram Median?

The following steps outline how to calculate the Histogram Median.

- First, determine the lower class boundary of the group containing the median (L).
- Next, determine the total number of data points (N).
- Next, determine the cumulative frequency of the group before the median group (CF).
- Next, determine the frequency of the median group (F).
- Finally, determine the width of the group interval (C).
- After inserting the variables into the formula M = L + ((N/2 – CF) / F) * C, calculate the Histogram Median.

**Example Problem:**

Use the following variables as an example problem to test your knowledge.

Lower class boundary (L) = 20

Total number of data points (N) = 100

Cumulative frequency of the group before the median group (CF) = 40

Frequency of the median group (F) = 10

Width of the group interval (C) = 5