Q 630. What is a percentile? How is it different from percentage? Provide an example on how this concept can be used in statistics and process improvements?

 

Note for website visitors -

• This platform hosts two weekly questions, one on Tuesday and the other on Friday. 
• All previous questions can be found here: https://www.benchmarksixsigma.com/forum/lean-six-sigma-business-excellence-questions/. 
• To participate in the current question, please visit the forum homepage at https://www.benchmarksixsigma.com/forum/.
• The question will be open until Tuesday or Friday at 5 PM Indian Standard Time, depending on the launch day. 
• Responses will not be visible until they are reviewed, and only non-plagiarised answers with less than 5-10% plagiarism will be approved. 
• If you are unsure about plagiarism, please check your answer using a plagiarism checker tool such as https://smallseotools.com/plagiarism-checker/ before submitting. 
• All correct answers shall be published, and the top-rated answer will be displayed first. The author will receive an honorable mention in our Business Excellence dictionary at https://www.benchmarksixsigma.com/forum/business-excellence-dictionary-glossary/ along with the related term.

• Some people seem to be using AI platforms to find forum answers. This is a risky approach as AI responses are error prone as our questions are application-oriented (they are never straightforward). Have a look at this funny example - https://www.benchmarksixsigma.com/forum/topic/39458-using-ai-to-respond-to-forum-questions/

• We also use an AI content detector at https://crossplag.com/ai-content-detector/. Only answers with less than 15-20% AI-generated content will be approved.

Percentile is a metric that provides insight about where a value lies within a data set by revealing the percentage of data points below or equal to a specific value. This process involves dividing the dataset into a hundred equal segments based on the distribution of the data, with each segment representing a percentage of the total data. It displays position or rank in a data set.

 

The difference between percentage and percentile is in their purposes.  A Percentage is a numerical representation out of 100, and a percentile is the percentage of values below a specific value. Percentage is used for comparing quantities whereas, a percentile is used to display position or rank.

 

In statistics and process improvements, percentiles are used for understanding data distribution, including measures like median, quartiles and identifying outliers. Percentiles are used to set performance targets and to define SLAs, also to set quality standards in manufacturing industries, used to track process performance, identify any trends, and to identify any inefficiencies in the process that needs improvement, also used for resource allocation and capacity planning by analyzing the higher percentiles, used to enhance customer experiences in service domain by monitoring the percentiles that shows long wait times and allocating resources to address the issues.

Percentile is a statistical metric which is used to show where a specific value falls within a dataset. It displays the proportion of data that fall within or equal to a specified range. To understand the significance of distribution of data and pinpoint places or ranges within it, we use percentiles.

Percentage is a means to express a ratio or a proportion in terms of parts per hundred. With 100 denoting the total, it is used to express the proportional size or value of one quantity to the whole.

We will understand this through an example mentioned below:

Let's say we have a dataset containing exam results for a class of students and we wish to determine a student's performance relative to the other students in the class. A student's score exceeds that of 75% of other students if they are in the 75th percentile.

Let's see how to interpret percentage: When a student receives a score of 75%, it indicates that they properly answered 75% of the exam's total questions.

Percentiles are used in statistics and process optimization to evaluate and interpret data. Percentiles can be used in quality control to determine the value below which a specific percentage of measurements fall. Setting performance benchmarks and making well-informed decisions on process enhancements can benefit from this.

Assume you are examining a website's response time. You can determine that 90% of users had reaction times that were less than that certain value by examining the response times at the 90th percentile. Most users will have a better experience on the website if the performance of the site is optimized with the help of this information.

Percentile is known as relative value that is used to indicate comparison of the given value with the rest. Percentile measures a candidate to other candidate in comparison. This comparison can also be used to know relative performance of employees, processes, performances within an organization.

 

Percentage and percentile are two different concepts as mentioned below:-

Sr. No.	Percentage	Percentile
1	shows the individual score out of 100.	shows a comparison of relative value.
2	Example: 80 percent in a test indicates that 80 answers out of 100 are correct	Example: 80th percentile indicates that candidate is better than 80 others
3	Percentage does not compare the given value.	Percentile used to compare the given value with the rest.
4	Percentage can be expressed in decimals.	Percentiles cannot be expressed in decimal.
5	Percentage indicates the value.	Percentiles indicate the rank.
6	Percentage is calculated based on individual performance.	Percentile is calculated based on relative performance.

 

 

Percentile ranks can be one way to know your organizations process improvements by comparing it to similar process in other department or organizations.  percentile ranks are fast and effective way to decide the best option of process based on feedback, survey, internal testes etc. Percentile ranks make it easier for managers to compare which process is a better fit, based on available data.

Srilaxmi has provided the best answer to the question by highlighting the multiple uses of Percentile.

 

Additionally, Saurabh has summarized the differences well in a table. Review his answer as well.