Quartile Formula

Introduction to quartile formula:

In mathematics, quartile is defined as the important topic. The set of values which is less or greater than the median value is known as the quartile. Mainly quartile consists of two types. They are upper quartile and the lower quartile. Upper quartile means, the values are less than the median value and lower quartile means, the values are greater than the median values. In this article, we are going to see about the quartile with brief explanation and some example problems.Having problem with Third Quartile keep reading my upcoming posts, i will try to help you.

Explanation to Quartile Formula

The explanation to quartile formula is as follows,

Formula:

Median to find quartile,

Odd = `(n + 1)/2` 

Even = `n/2`  + 1

where,

n = number of values.

Example Problems to Quartile Formula

Problem 1: Find the upper Quartile from the following set of data's, 12, 14, 15, 16, 17

Solution:

Step 1: Given:

Data = 12, 14, 15, 16, 17

Step 2: To find:

Upper quartile

Step 3: Formula:

Median,

Odd = `(n + 1)/2` 

Even = `n/2`  + 1

Step 4: Find Median:

Median = `(n + 1)/2`

= `(5 + 1)/2`

= `6/2`

= 3

Therefore, 15 is known as the median value.

Step 5:Find Upper quartile:

Upper quartile - Values which is less than the median.

Therefore, 16, 17 is known as the first quartile.

Result: Upper Quartile = 16, 17

Therefore, this is the required answer for solving the upper quartile.

Problem 2: Find the lower Quartile from the following set of data's, 12, 14, 15, 16, 17

Solution:

Step 1: Given:

Data = 12, 14, 15, 16, 17

Step 2: To find:

lower quartile

Step 3: Formula:

Median,

Odd = `(n + 1)/2` 

Even = `n/2`  + 1

Step 4: Find Median:

Median = `(n + 1)/2`

= `(5 + 1)/2`

= `6/2`

= 3

Therefore, 15 is known as the median value.

Step 5:Find lower quartile:

Lower quartile - Values which is greater than the median.

Therefore, 12, 14 is known as the first quartile.

Result: Lower Quartile = 16, 17

Therefore, this is the required answer for solving the lower quartile.

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Practice Problems to Quartile Formula

Problem 1: Find the upper Quartile from the following set of data's, 18, 19, 20, 21, 22.

Answer: 21, 22

Problem 2: Find the lower Quartile from the following set of data's, 18, 19, 20, 21, 22.

Answer: 18,19

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