Outlier Calculator





Formula

The formulas to calculate the lower and higher outliers are:

\[ L = Q1 - (1.5 \times IQR) \]

\[ H = Q3 + (1.5 \times IQR) \]

Where:

What is an Outlier?

An outlier is defined as the extreme values of a set of data that vary the most from the mean or norm.

Example Calculation

Let's assume the following:

Step 1: Calculate the IQR:

\[ IQR = Q3 - Q1 = 75 - 25 = 50 \]

Step 2: Calculate the lower outlier:

\[ L = Q1 - (1.5 \times IQR) = 25 - (1.5 \times 50) = 25 - 75 = -50 \]

Step 3: Calculate the higher outlier:

\[ H = Q3 + (1.5 \times IQR) = 75 + (1.5 \times 50) = 75 + 75 = 150 \]

Therefore, the lower outlier is -50 and the higher outlier is 150.