How to Find Percentiles in Statistics

The data arranged in ascending or descending order can be divided into 100 equal parts by 99 values. These values are called percentiles and denoted by P1, P2,………..P99. There is a slight difference in the calculation of percentiles in case of grouped and ungrouped data. Therefore calculation for both types of data is explained with the help of problems.

 

Calculation of Percentiles for Ungrouped Data

Percentiles of ungrouped data can be calculated with the help of following formula:

 

 

Problem: The data given below shows the marks obtained by the MBA students in statistics 36, 28, 47, 40, 44, 44, 39, 33, 33, 32, 48, 34, 38, 27, 40, 37, 41, 42, 38, 48, 43, 35, 37, 37, 25

 

 

Solution

Arrange data in ascending order:

25, 27, 28, 32, 33, 33, 34, 35, 36, 37, 37, 37, 38, 38, 39, 40, 40, 41, 42, 43, 44, 44, 47, 48, 48

 

25th Percentile (P25)

P25 can be calculated by using the formula:

 

 

50th Percentile (P50)

The calculation of P50 is given below:

 

 

Since the value of 13th observation in arranged data is 38.00 therefore P50 is also 38.

 

75th Percentile (P75)

The formula for calculating P75 is given below:

 

 

Calculation of Percentiles for Frequency Distribution

In case of frequency distribution, percentiles can be calculated by using the formula:

Page: 1 2

kasi

View Comments

Recent Posts

Porter’s Five Forces of Microsoft

Microsoft Corporation also known as MS is one of the biggest multinational technology-based company in…

2 years ago

Porter’s 5 Forces Analysis of Fast Food Industry

The article is based upon in-depth analysis of Fast Food Industry of Australian Region with…

2 years ago

Apple Inc. – Porter’s Five(5) Forces Analysis

The paper presents detailed overview about the Apple Inc. analysis on the parameters set by…

2 years ago

Marketing Plan – Thomson Holiday Group

The purpose of this research paper is to develop a marketing plan for the Thomson…

2 years ago

Case Study – Jerk Stars Ltd- Sales and Marketing Human Resources Dilemma

1. As applicable to other department managers, a human resources manager invigilates the departments and…

2 years ago

KFC Jamaica – Operation and Services Flow

The purpose of the present article is to formulate a work allocation flow chart of…

2 years ago