How to Calculate Deciles

The arranged data can be divided into ten equal parts by nine values. These values are called deciles and denoted by D1, D2,…….D9. Two different types of formulas are used for the calculation of deciles in case of grouped data (data presented in frequency distribution) and ungrouped data (data in original form). The calculation of deciles for both grouped and ungrouped data is explained below with the help of simple problems.

 

Calculation of Deciles for Ungrouped Data

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

 

 

Problem: The twelve donors donated the following amount in a charity fund: 500, 850, 925, 800, 600, 750, 650, 625, 800, 400, 725, and 550. Find D4, D7 and D9

Arrange data in ascending order:
400, 500, 550, 600, 625, 650, 725, 750, 800, 800, 850, 925

 

Fourth Decile (D4)

D4 can be calculated by using the formula:

 

 

Since 5.2th observations lies between 5th and 6th value in the ordered group, or midway between 625 and 650 therefore

 

 

Seventh Decile (D7)

 

The calculation of seventh decile is given as:

 

 

Ninth Decile (D9)

The calculation of D9 is given below:

 

 

Calculation of Deciles for Frequency Distribution

 

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

 

 

Problem: The daily earnings of employees working at an industrial complex are given below in table. Find D2, D5 and D9.

 

 

Solution:

 

 

2nd Decile (D2)

In case of frequency distribution 2nd decile can be calculated by using the formula given below:

 

 

5th Decile

The calculation of 5th decile is given below:

 

 

9th Decile

The calculation of 9th decile is shown in the figure below:

 

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