How to Use the Outlier Calculator
- Enter your dataset in the text area, with each number separated by a comma (e.g., 10, 12, 15, 18, 20, 22, 25, 30).
- Click the "Calculate" button to analyze the data.
- The calculator will display the Interquartile Range (IQR), lower and upper bounds, and any identified outliers.
Understanding Outlier Calculation
This calculator uses the Interquartile Range (IQR) method to identify potential outliers in a dataset:
- Quartiles: The dataset is divided into four equal parts. Q1 is the median of the lower half, and Q3 is the median of the upper half.
- IQR: The IQR is calculated as Q3 - Q1, representing the spread of the middle 50% of the data.
- Bounds: The lower bound is calculated as Q1 - 1.5 * IQR, and the upper bound as Q3 + 1.5 * IQR.
- Outliers: Any data point below the lower bound or above the upper bound is considered a potential outlier.
Example
For the dataset: 10, 12, 15, 18, 20, 22, 25, 30
Q1 = 12.5, Q3 = 24.5, IQR = 12
Lower Bound = 12.5 - 1.5 * 12 = -3
Upper Bound = 24.5 + 1.5 * 12 = 42
In this example, there are no outliers since all values fall between -3 and 42.