Interquartile range calculator
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Calculate interquartile range online with ease
Calculate the interquartile range (IQR) to measure statistical dispersion and identify outliers in your dataset. The IQR is a robust measure of spread that's resistant to extreme values.
Analyze csv, parquet, tsv and json in seconds
Calculate IQR instantly
Get quartiles (Q1, Q2, Q3)
Identify potential outliers
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Perfect for data analysis and outlier detection
How to calculate interquartile range (IQR) online
- Upload your data
Use the input box at the top of the page to upload your dataset - Select column
Choose the numerical column you want to analyze - View results
See the IQR, quartiles, and outlier information instantly - Analyze distribution
Use the visualization to understand your data's spread and identify outliers
IQR calculation examples with different distributions
Normal distribution
A normal distribution typically shows a consistent IQR with few outliers. Outliers are identified using the 1.5 × IQR rule:
How outliers are calculated:
- Lower fence = Q1 - 1.5 × IQR
- Upper fence = Q3 + 1.5 × IQR
- Any values below the lower fence or above the upper fence are considered outliers
Statistics:
- IQR: 1.3648
- Q1: 9.3200
- Q3: 10.6848
- Median: 10.0061
- Number of outliers: 5
- Lower fence: 7.2729
- Upper fence: 12.7320
Skewed distribution
A right-skewed distribution often shows more potential outliers in the right tail. The 1.5 × IQR rule provides an objective method for identifying these extreme values, regardless of the distribution's shape.
Statistics:
- IQR: 0.6919
- Q1: 0.7196
- Q3: 1.4115
- Median: 1.0081
- Number of outliers: 32
- Lower fence: -0.3183
- Upper fence: 2.4494
Bimodal distribution
A bimodal distribution demonstrates how IQR and outlier detection work with multi-peaked data. The same 1.5 × IQR rule applies, though interpretation may need more context due to the natural separation of peaks.
Statistics:
- IQR: 10.0173
- Q1: 4.9851
- Q3: 15.0024
- Median: 6.2626
- Number of outliers: 0
- Lower fence: -10.0408
- Upper fence: 30.0283
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