5 Number Summary Calculator

Calculate the minimum, first quartile, median, third quartile, and maximum of a dataset.
Calculator
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Analysis
Interpretation of the current calculator output

Enter values to see detailed analysis and insights.

How to Use

Step-by-step instructions
  1. 1Enter your data points separated by commas or spaces.
  2. 2The calculator will sort the data and compute the 5 number summary.

Quartile Calculation

The 5 number summary provides a quick overview of the distribution of a dataset. It consists of the minimum, the 25th percentile (Q1), the median (50th percentile), the 75th percentile (Q3), and the maximum.
Min, Q1, Median, Q3, Max

Variables:

MinSmallest value
Q1First Quartile (25%)
MedianMiddle value (50%)
Q3Third Quartile (75%)
MaxLargest value

Example

Dataset: 1, 3, 5, 7, 9, 11, 13

Inputs:

Data:1, 3, 5, 7, 9, 11, 13

Steps:

  1. 1.Sort: 1, 3, 5, 7, 9, 11, 13
  2. 2.Min: 1
  3. 3.Max: 13
  4. 4.Median: 7
  5. 5.Lower Half: 1, 3, 5 -> Q1: 3
  6. 6.Upper Half: 9, 11, 13 -> Q3: 11
Result:
1, 3, 7, 11, 13

Frequently Asked Questions

How are quartiles calculated?

There are multiple methods for calculating quartiles. This calculator uses the "Tukey's hinges" method, which includes the median in the halves if the dataset size is odd.