Customer Service Chat
Get quote & make Payment
Quartile Deviation, Statistics, Basic Statistics
The range as a measure of dispersion discussed above has certain limitations. It is based on two extreme items and it fails to take account of the scatter within the range. From this there is reason to believe that if the dispersion of the extreme items is discarded, the limited range thus established might be more instructive for this purpose there has been developed a measure called the interquartile range the range which includes the middle 50 per cent of the distribution that is one quarter of the observations at the lower end another quarter of the observations at the upper end of the distribution are excluded in computing the interquartile range. In other works, interquartile range represents the difference between the third quartile and the first quartile.
Interquartile range = Q3 – Q1
Very often the interquartile range is reduced to the form of the semi-tier quartile range or quartile deviation by dividing it by 2
Quartile deviation or Q. D = (Q3 – Q1) / 2
Quartile deviation given the average amount by which the two quartiles differ from the median. In asymmetrical distribution the two quartiles Q1 and Q3) are equidistant from the median med - 1 = Q3 – med. And as such the difference can be taken as a measure of dispersion. The median ± covers exactly 50 per cent of the observations.
In reality however one seldom finds a series in business and economic data that is perfectly symmetrical. Nearly all distributions of social series are asymmetrical. In an say metrical distribution Q1and Q3 are not equidistant from the median. As a result an asymmetrical distribution includes only approximately 50 per cent of observations.
When quartile deviation is very small it describes high uniformity or small variation of the central 50% items and a high quartile deviation means that the variation among the central items is large.
Quartile deviation is an absolute measure of dispersion. The relative measure corresponding to this measure, called the coefficient of quartile deviator is calculated as follows.
Coefficient of Q.D = (Q3 – Q1) / 2 / (Q3 + Q1)/2 = Q3 – Q1 / Q3 + Q1
Coefficient of quartile deviation can be used to compare the degree of variation in different distributions.
Computation of quartile deviation the process of computing quartile deviation is very simple we have just to compute the values of the upper and lower quartiles the following illustrations would clarify calculations.
Posted Date: 1/31/2012 11:40:36 PM | Location : United States
Ask an Expert
Quartile Deviation, Statistics, Assignment Help, Ask Question on Quartile Deviation, Statistics, Get Answer, Expert's Help, Quartile Deviation, Statistics Discussions
Write discussion on Quartile Deviation, Statistics
Your posts are moderated
Write your message here..
Obtain the p-value for the value of the test statistic, A study looked at t...
A study looked at the relationship between coronary heart disease (CHD) and coffee consumption in a group of 40-55 year old men. Among the 790 heavy coffee drinkers (at least 100 c
Book-keeping financial, Expertsmind.com offering financial accounting help...
Expertsmind.com offering financial accounting help,The Financial Accounting vs. The Book-keeping issues itself with the producing (correctly and in a set of books) of those dealin
Paasches quantity index, formula for calculating paasches quantity index
formula for calculating paasches quantity index
research problem , The abstract is a one-paragraph [200-300 words] summary...
The abstract is a one-paragraph [200-300 words] summary of what will be presented in the paper. The content that is required for the abstract includes [1-2 sentences each component
Upper boundaries, 1-100,101-200
Optical, How to combine two prisms to produce deviation without dispersion ...
How to combine two prisms to produce deviation without dispersion ?
Hypothesis testing, After analyzing the data the researcher has to test ten...
After analyzing the data the researcher has to test ten hypotheses various tests such as chi square test t test have been developed by statisticians for the purpose. The hypotheses
#title.business statistics, Test the null at 1? significance level
Test the null at 1? significance level
Accounting cases, Hi I just want to know if you many be able to solve thes...
Hi I just want to know if you many be able to solve these three cases for intermediate accounting class! Thank you
Construct the frequency distribution, 1) Here we are given a raw data and w...
1) Here we are given a raw data and we are supposed to construct the frequency distribution of that data and plot the histogram of it. The dataset contains the values from 1 to
Accounting Assignment Help
Economics Assignment Help
Finance Assignment Help
Statistics Assignment Help
Physics Assignment Help
Chemistry Assignment Help
Math Assignment Help
Biology Assignment Help
English Assignment Help
Management Assignment Help
Engineering Assignment Help
Programming Assignment Help
Computer Science Assignment Help
Why Us ?
~24x7 hrs Support
~Quality of Work
~Time on Delivery
~Privacy of Work
Human Resource Management
Literature Review Writing Help
Terms & Conditions
Copyright by ExpertsMind IT Educational Pvt. Ltd.