
Quartiles Calculator is created as a web calculator for helping students practice various methods to find quartile of data set.
What is Quartile ?
Quartile is a statistical measure used to divide a dataset into four equal parts or quarters. The quartiles divide a dataset into three points, with each point representing a quarter or 25% of the data. The quartiles of the data are represented as follows:
- First Quartile(Q1)=((n+1)/4)th Term, also known as the lower quartile.
- The second quartile or the 50th percentile or the Median is given as: Second Quartile(Q2)=((n+1)/2)th Term
- The third Quartile of the 75th Percentile (Q3) is given as: Third Quartile(Q3)=(3(n+1)/4)th Term also known as the upper quartile.
- The interquartile range is calculated as: Upper Quartile – Lower Quartile.
Quartiles Calculator
Quartiles Calculator
Find Q1, Median (Q2), and Q3 from your dataset.
Quick explanation
Quartiles split your sorted data into four equal parts: Q1 (25th percentile), Q2 (median), and Q3 (75th percentile). It’s one of the fastest ways to understand how your data is distributed.
Worked example
Click “Try example” above to auto-fill a sample dataset and see how the result changes when you edit values.
FAQs
What input format does this calculator accept?
Do I need to sort the numbers first?
Which quartile method is used here?
How to use Excel or Google Sheets to calculate quartiles?
Excel or Google Spreadsheet has a built-in QUARTILE function. Important to note that the data set must be arranged in ascending order. So, using the built-in function, you can use functions as follows:
| Minimum Number | =quartile(data_range,0) |
| First Quartile or Lower Quartile | =quartile(data_range,1) |
| Second Quartile or Median | =quartile(data_range,2) |
| Third Quartile or Upper Quartile | =quartile(data_range,3) |
| Maximum Number | =quartile(data_range,4) |
Methods of Finding Quartiles
Wikipedia has provided four methods. It is reproduced verbatim
Method 1
- Use the median to divide the ordered data set into two halves.
- If there is an odd number of data points in the original ordered data set, do not include the median (the central value in the ordered list) in either half.
- If there is an even number of data points in the original ordered data set, split this data set exactly in half.
- The lower quartile value is the median of the lower half of the data. The upper quartile value is the median of the upper half of the data.
This rule is employed by the TI-83 calculator boxplot and “1-Var Stats” functions.
Method 2
- Use the median to divide the ordered data set into two-halves.
- If there are an odd number of data points in the original ordered data set, include the median (the central value in the ordered list) in both halves.
- If there are an even number of data points in the original ordered data set, split this data set exactly in half.
- The lower quartile value is the median of the lower half of the data. The upper quartile value is the median of the upper half of the data.
The values found by this method are also known as “Tukey’s hinges”; see also midhinge.
Please visitwikipedia page for 3rd and 4th methods. After exploring our cylinder surface area calculator, you might also find our circle area calculator online useful for mastering fundamental circular geometry concepts.
Have you tested our cylinder surface area calculator?
