Quartiles, Deciles and Percentiles (Grouped Data)

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<p align="justify">When data is arranged in ascending or descending order, it can be divided into various parts by different values such as quartiles, deciles and percentiles. These values are collectively called quantiles and are the extension of median formula which divides data into two equal parts. Since the basic purpose of these partition values is to divide data into different parts therefore a relationship exists between them. This relationship is given below and is elaborated with the help of simple problems. </p>
<p align="justify">&#160;</p>
<p align="justify"><a href="http://mba-lectures.com/wp-content/uploads/2010/06/image181.png"><img title="image" style="border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px" height="240" alt="image" src="http://mba-lectures.com/wp-content/uploads/2010/06/image_thumb181.png" width="500" border="0" /></a> </p>
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<p align="justify"><strong>Problem:</strong> In a work study investigation, the times taken by 20 men in a firm to do a particular job were tabulated as follows: </p>
<p align="justify">Prove that:</p>
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<p align="justify"><a href="http://mba-lectures.com/wp-content/uploads/2010/06/image182.png"><img title="image" style="border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px" height="26" alt="image" src="http://mba-lectures.com/wp-content/uploads/2010/06/image_thumb182.png" width="186" border="0" /></a> </p>
<p align="justify">&#160;</p>
<p align="justify"><a href="http://mba-lectures.com/wp-content/uploads/2010/06/image183.png"><img title="image" style="border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px" height="58" alt="image" src="http://mba-lectures.com/wp-content/uploads/2010/06/image_thumb183.png" width="500" border="0" /></a> </p>
<p align="justify">&#160;</p>
<p align="justify"><a href="http://mba-lectures.com/wp-content/uploads/2010/06/image184.png"><img title="image" style="border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px" height="275" alt="image" src="http://mba-lectures.com/wp-content/uploads/2010/06/image_thumb184.png" width="500" border="0" /></a> </p>
<p align="justify">&#160;</p>
<h3>Second Quartile Q2</h3>
<p> &#160;</p>
<p> In case of frequency distribution, quartiles can be calculated by using the formula:</p>
<p> &#160;</p>
<p> <a href="http://mba-lectures.com/wp-content/uploads/2010/06/image185.png"><img title="image" style="border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px" height="225" alt="image" src="http://mba-lectures.com/wp-content/uploads/2010/06/image_thumb185.png" width="350" border="0" /></a> </p>
<p> &#160;</p>
<p> <a href="http://mba-lectures.com/wp-content/uploads/2010/06/image186.png"><img title="image" style="border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px" height="374" alt="image" src="http://mba-lectures.com/wp-content/uploads/2010/06/image_thumb186.png" width="300" border="0" /></a> </p>
<p> &#160;</p>
<h3>Fifth Decile D5</h3>
<p> &#160;</p>
<p> In case of frequency distribution, deciles can be calculated by using the formula:</p>
<p> &#160;</p>
<p> <a href="http://mba-lectures.com/wp-content/uploads/2010/06/image187.png"><img title="image" style="border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px" height="222" alt="image" src="http://mba-lectures.com/wp-content/uploads/2010/06/image_thumb187.png" width="350" border="0" /></a> </p>
<p> &#160;</p>
<p> <a href="http://mba-lectures.com/wp-content/uploads/2010/06/image188.png"><img title="image" style="border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px" height="383" alt="image" src="http://mba-lectures.com/wp-content/uploads/2010/06/image_thumb188.png" width="300" border="0" /></a> </p>
<p> &#160;</p>
<h3>50th Percentile P50</h3>
<p> &#160;</p>
<p> In case of frequency distribution, percentiles can be calculated by using the formula:
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View Comments
thank you for this info. this will help me on my midterm exam for quantitative methods tomorrow.
thank a lots for this information. It can help me know clearly about Measures of Central Tendency for my final exam.
the answer 4 inside the parenthesis isn't multiplied to the fraction outside. anyway, they're still the same if it'll be multiplied to 4. ^^
9c job
what a best explanation! You rock guys....
It is the best explanation!
Hey....thank you guys.i have been struggling to find this infomation
gosh;am so happy,i can't believe that its this easy,am so happy.
awesome,,, i dnt study stats frm books anymore :)
so helpful ...!!!
What an explanation!!! Thanks a lot Admin.