Quartile Calculator

Determine quartiles, interquartile range, and distribution with ease.

Enter your dataset

Data values

Examples: 1, 2, 3, 4 or 1 2 3 4 or each value on a new line. Non-numeric entries are ignored and reported below.

Quartile method

Choose how Q1 and Q3 are computed. Different conventions may produce slight differences.

Decimal places

Controls rounding in the displayed results only.

Results

Count

–

Mean (x̄)

–

Std. Dev (sample)

–

Min	Q1	Median (Q2)	Q3	Max	IQR
–	–	–	–	–	–

Box plot Scaled horizontally between min and max

Outlier thresholds Tukey’s fences

Lower fence: –
Upper fence: –

Outliers Outside fences

None

Sorted data preview

How quartiles are calculated

Tukey’s Hinges: Median of each half; commonly used for box plots.
Exclusive Median: Excludes the overall median from halves.
Inclusive Median: Includes the overall median in halves.
Linear Interpolation: Quantiles by position p = 1 + (n − 1)q.

Negative numbers are allowed. Non-numeric entries are ignored.

What is an Online Quartile Calculator?

An Online Quartile Calculator is a tool designed to calculate the quartiles of a dataset, which divide the data into four equal parts. Quartiles help summarize and analyze the distribution of data by identifying key points:

Q1 (First Quartile): The median of the lower half of the data (25th percentile).
Q2 (Second Quartile): The median of the dataset (50th percentile).
Q3 (Third Quartile): The median of the upper half of the data (75th percentile).

These quartiles are widely used in descriptive statistics to understand the spread and central tendency of data.

How to Use an Online Quartile Calculator?

Access the Tool: Open an online quartile calculator in your browser.
Input the Dataset:
- Enter the dataset as a series of numbers, separated by commas or spaces.
- Ensure the data is sorted in ascending order (some tools do this automatically).
Click “Calculate” or “Compute”: The tool will calculate the quartiles, the interquartile range (IQR), and other key statistical values.
Review the Results:
- The calculator will display Q1, Q2, and Q3.
- Some calculators also provide the minimum, maximum, and IQR.

Frequently Asked Questions-

What is the purpose of quartiles in statistics?
Quartiles divide data into four equal parts to understand the spread and central tendency of a dataset. They are useful in identifying outliers and summarizing data distributions.
What is the Interquartile Range (IQR)?
The IQR is the difference between the third quartile (Q3) and the first quartile (Q1):