Iqr Calculator

Step-by-Step Guide to Use the IQR (Interquartile Range) Calculator

Introduction

This guide will walk you through using the IQR (Interquartile Range) Calculator to analyze your data set. This tool calculates the first quartile (Q1), median (Q2), third quartile (Q3), interquartile range (IQR), and the lower and upper bounds.

Step 1: Input Data

Begin by entering each data value into the input field labeled Enter Data Value. This field is designed to accept numerical values. Simply input a number and press the Enter/Return key to add it to your data set. Make sure all data points are entered one at a time.

Step 2: Calculation of Quartiles

• First Quartile (Q1): The calculator will automatically calculate Q1, which is the median of the first half of your data set.
• Median (Q2): It also computes Q2, the overall median of your data set.
• Third Quartile (Q3): Similarly, Q3 is determined, marking the median of the second half of your data set.

Step 3: Calculation of Interquartile Range (IQR)

The IQR is calculated using the formula IQR = Q3 – Q1. This value represents the range within which the central 50% of your data lies.

Step 4: Determination of Lower and Upper Bounds

The calculator also provides the lower and upper bounds using the IQR value:

• Lower Bound: Calculated as Q1 – 1.5×IQR.
• Upper Bound: Computed as Q3 + 1.5×IQR.

Step 5: Interpreting the Results

Once all calculations are complete, review the results field, which will display the values for Q1, Q2, Q3, IQR, and the lower and upper bounds. The calculations are formatted to two decimal places for precision.

This information can be used to identify any potential outliers in your data set, as values falling below the lower bound or above the upper bound are often considered outliers.

Conclusion

By following these steps, you can efficiently use the IQR Calculator to analyze your data and better understand the distribution and variability present in your dataset.