Percentiles
Lecture 8
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Understanding Percentiles: Definition, Applications, and Calculation, Lecture notes of Quantitative Techniques
An in-depth explanation of percentiles, their definition, applications, and calculation methods. Percentiles are essential for ranking data sets and are commonly used in various exams, athletic competitions, IQ tests, and country rankings. the concept of percentiles with both ungrouped and grouped data, and includes examples and practice problems.
What you will learn
- Can you give an example of when percentiles are used in real life?
- How can you calculate the interpercentile range for a given set of data?
- What is a percentile and how is it calculated?
Typology: Lecture notes
2021/2022
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Percentiles
Lecture 8
Percentiles
In this lesson:
1. Definition of a percentile and an interpercentile range.
2. Applications of a percentiles.
3. Calculating percentiles and interpercentile range.
What you should be able to do:
1. Explain what a percentile and interpercentile range is
2. Give an example of when percentiles are used in your life.
3. Calculate a given percentile and interpercentile range for a frequency table with
ungrouped data.
Applications of Percentile
Percentiles are a very convenient way of ranking data sets with many observations because they are:
- Easy to calculate
- Easy to understand
- Easy to separate data observations Almost all major exams (especially university entrance exams and university exams) use percentile to determine what students did well and what students did badly. The next time you take a university entrance exams, look for your percentile score in your results sheet. The closer your percentile score is to 100, the better you did! If you score in the 99 th percentile, you basically did better than everyone. If you score in the 0th^ or 1st^ percentile, you did very badly. Other examples of percentiles can include:
- Athletic competitions
- IQ tests
- Country rankings (economic development, GDP, educational attainment, internet usage, etc. etc.
- Physical characteristics (height, weight, etc.) Basically anything in which numbers can be used to describe and separate things.
Calculating Percentile
Step 1: Add a cumulative frequency column if necessary Step 3: Look at the number you calculated and determine what row your desired observation is in. Step 4: Perform interpolation using the number you calculated and the boundaries of the necessary class. Step 5 : To find the interpercentile range, subtract the two percentiles that you calculated. Calculating a percentile is similar to calculating a quartile or median using interpolation! Step 2: Divide the percentile you need by 100, then multiply that decimal by the total number of observations.
Cumulative Frequency Why not 179.5? 𝑃 10 =