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Quartile calculator

Quartile Calculator

Provide data values in the box and the calculator will readily calculate first, second, and third quartiles along with interquartile range, with the steps shown.


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An online quartile calculator that helps to calculate the first quartile (q1), second quartile (q2), third quartile (q3), & interquartile range from the data set. This quartiles calculator also finds out median, greater value, lowest value as well as the total sum for the given set of data. Well, just read on to know how to find quartiles manually or with this handy tool, but before that you should beware of some basics!

You can try this covariance calculator online if you want to find the statistical relationship between the two sets of population data.

What is a Quartile?

Quartiles can be explained as values that divide a huge list of numbers or digits into different quarters. It arranges all the numbers in a specific order and then cut the whole list into four equal parts. The point at which data is divided into part is known as quartile.


  • Given number: 4, 4, 5, 1, 6, 7, 9
  • Step 1: arrange the numbers: 1, 4, 4, 5, 6 ,7 ,9
  • Quartiles: 4, 5, 7

Also, try this 100% free interquartile range calculator to find the interquartile range (IQR) for the given set of numerical observations.

Quartile Formula:

There are four different formulas to find quartiles:

  • Formula for Lower quartile (Q1) = N + 1 multiplied by (1) divided by (4)
  • Formula for Middle quartile (Q2) = N + 1 multiplied by (2) divided by (4)
  • Formula for Upper quartile (Q3) = N + 1 multiplied by (3) divided by (4)
  • Formula for Interquartile range = Q3 (upper quartile) – Q1 (lower quartile)

Types of Quartile:

There are four common types of quartiles:

  • Lower quartile that is represented by Q1 and can be calculated by finding median of lower set of numbers. Lower set of numbers are present below the actual median.
  • Middle quartile is the second type and commonly represented by Q2 and can be calculated by finding the middle number of the given data set.
  • Upper quartile is the third type that is represented by Q3 and can be calculated by finding the median of upper set of numbers. Upper set of numbers are present just above the actual median.
  • Whereas interquartile range is the fourth type of quartiles and can be calculated by subtracting lower quartile from upper quartile. With the support of first and third quartile calculator it is very easy to calculate all types in the blink of an eye without any error.

About Quartile Calculator:

This quartile calculator by calculator-online helps you to find the first quartile (lower), second quartile (median), and third quartile (upper) of any data set. The calculator also helps to determine the interquartile range of a data set. Well, wondering to calculate quartiles with this calculator. Read on!

How to Calculate Quartiles with this Calculator for Quartiles?

This calculator for quartiles i:e first quartile (Q1), second quartile (Q2), third quartile (Q3), and Interquartile Range (IQR) is 100% free and simple to use, just follow the given steps to attain the result.


  • At first, you have to select the operator by which you want to separate the data set numbers, it can either be “space” “comma” or “user-defined”
  • Then, you just need to enter the data set numbers and separate it by corresponding to the selected separator


Finally, all you need to hit the calculate button, this calculator will provide you with:

  • First quartile (Q1 or lower Quartile)
  • Second quartile (Q2 or median Quartile)
  • Third quartile (Q3 or upper Quartile)
  • Interquartile Range IQR
  • Average for the given data set
  • Geometric Mean
  • Total Sum
  • Population Standard Deviation
  • Sample Standard Deviation
  • Most Greater Value
  • Most Lowest Value
  • Range
  • Count (Total Numbers)
  • Ascending Order
  • Descending Order
  • Even Numbers
  • Odd Numbers

Also, use this best statistical calculator by calculator-online if you want to find out the statistical measure of the dispersion of data points in a data series around the mean.

How to Find Q1 and Q3?

Quartile calculators and quartile formulas are the best ways to find it. However, have a look on following examples to know about how you can calculate q1, q2 and q3. First of all, you have to follow a certain set of rules:

  • You have to arrange your data from lowest to highest order.
  • Now you have to look for median. It will be q2.
  • At median you have to split the ordered data into two halves or equal sets.
  • Now the median of lower half of data will be q1 and median of upper half of the data will be q3.

If your given data set is present in even numbers, then the median will be the average of the central 2 values. You have to add these 2 values, and then divide the answer by 2. The final outcome will be median that splits your data set into lower and upper halves.


How do you calculate q1 and q3 for a given data set?

In simple terms, just enter the given data set into the upper and lower quartile calculator to determine the first quartile Q1 and third quartile Q3, and if you want to do it manually, then stick to the given steps:

  • Data set: 1 2 3 4 5 6 6 7 8 9
  • Data is already arranged from lower to higher order.
  • To find q1 first quartile calculator is the best option to avoid the manual calculations however you can do it by hand as well. first of all, you have to find the q2. In the above set to find q2 add 5 and 6 and then multiply it by 2.
  • (5 + 6) divided by 2 = 11 / 2 = 5.5
  • So the q2 will be 5.5. at this point you have to split the data into two halves. One will be lower data set and the other will be higher data set.
  • Lower data set: 1 2 3 4 5
  • Higher data set: 6 6 7 8 9
  • Now the median of lower data set is 3 which is q1 and the median of upper data set is 7 which is q3. Use of third quartile calculator is another option for calculating q3 to avoid chances of errors.

How to Find Q2?

The number which divides any data set into two halves is q2 of the data. In fact, it is the value of the median in an arranged data set. The second quartile calculator is the best way to avoid manual calculations however for doing it by hand have a look at the following example.


Data set:

  • (2 44) 5 (6 7 8)
  • Median: 5 therefore data will be: (2) 4 (4) and (6) 7 (8)
  • Thus, q2 for the above data set is: 5
  • Whereas q1: 4
  • Q3: 7

If the values of q1 and q3 are known, then interquartile range of the data can also be calculated.

  • Interquartile range: q3 – q1 = 7 – 4 = 3


What are the 4 quartiles?

Each quartile consists of 25% of the total observations. Typically, the data set is arranged from smallest to largest, thus, the 4 quartiles are:

  • First quartile is said to be as the lowest 25% of numbers
  • Second quartile is said to be as between 25.1% and 50% (up to the median)
  • Third quartile is said to be as 51% to 75% (above the median)
  • Fourth quartile is said to be as the highest 25% of numbers

What is q1 q2 q3 q4?

Let’s elaborate it with simple example:

The standard calendar quarters the years as follows:

  • January, February, and March (Q1)
  • April, May, and June (Q2)
  • July, August, and September (Q3)
  • October, November, and December (Q4)

What do quartiles tell us?

Quartiles are something that tells about the spread of data set by breaking the data numbers into quarters, just same as the median breaks it in half. Remember that a quartile divides data into three points: a lower quartile (Q1), median (Q2), and upper (Q3) to form four groups of the data set.

What is a quartile in class rank?

Quartile is the measures that only tells you if you are in the top 25, 50, or 75% of your class. And, when it comes to quintile it only tells you if you are in the top 20, 40, 60 or 80% of your class.

How do you find the 1st and 3rd quartile in Excel?

  • First of all, you need to type your data set into a single column. For instance, you are going to enter data into cells A1 and A10
  • Very next, you have to make a click on an empty cell somewhere on the sheet. For instance, click on the cell B1
  • Now, to find the first quartile, all you need to type “=QUARTILE(A1:A10,1)”, and then press “Enter”
  • So, to find the third quartile, all you need to enter the type “=QUARTILE(A1:A10,3)”.

What does the upper quartile tell us?

The upper quartile (Q3) is referred to as the point between the lowest 75% and highest 25% of values. It is also said to be as the 75th percentile. Also, the IQR or interquartile is the difference between the upper (Q3) and lower quartiles (Q1) that is Q3 – Q1, and elaborates the middle 50 percent of values when ordered from lowest to highest.

How do you explain a box and whisker plot?

In a box and whisker plot:

  • The ends of the box are said to be as the upper and lower quartiles, thus, the box spans the interquartile range
  • The median is pointed by a vertical line inside the box
  • The whiskers are said to be as the two lines outside the box, which extend to the highest and lowest observations

How do you divide data into quartiles?

Quartiles are the values that help you to divide your data into quarters. However, quartiles are not the measure that shaped like pizza slices; instead, they divide your data set into four segments corresponding to where the numbers fall on the number line.

Wrapping Up:

This online quartile Calculator by calculator-online permits you to enter an unarranged huge data set and calculates q1, q2 and q3 in the blink of an eye without solving any equation or formulas. It distributes the data precisely into three percentiles levels. To avoid the complications of manual calculations and error risk it is the best learning option for students as well as professionals.


From the source of Wikipedia: About Quartile: Definition of quartiles and different computing methods

From the source of mathsisfun: All you need to know about Quartiles – Interquartile Range IQR and Box and Whisker Plot

The authorized source of investopedia provided with: By DANIEL LIBERTO – Understanding Quartiles – How Quartiles Work and quartiles example

From the source of magoosh: Learn statistics fundamentals with Magoosh : How are Quartiles Used in Statistics (BY JESSICA KNOCH)