The formulas to calculate the lower and higher outliers are:
\[ L = Q1 - (1.5 \times IQR) \]
\[ H = Q3 + (1.5 \times IQR) \]
Where:
An outlier is defined as the extreme values of a set of data that vary the most from the mean or norm.
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.