Login

Create Account
+14156709189
info@expertsmind.com
Submit Homework/Assignment
Get quote & make Payment
Get Solution
Tchebycheffs theorem, Statistics, Basic Statistics
Tchebycheffs theorem
As we all know standard deviation is a most widely used measure of variation. It has certain mathematical properties that facilitate development of statistical theory. It carries the same units as the variable, whereas the variable is expressed in squared units.
Deeper insight into the role and meaning of standard deviation can be gained through examination and use of a theorem developed by the Russian mathematician tchebycheff. According to this theorem, it is given a group of N within K standard deviations of the mean. The symbol K represents number of standard deviations. The theorem can be quantified for any desired value of K each different value of K produces a new interval with different minimum proportions of observations encompassed.
To illustrate, let K = 1, 2 and 3 when K = 1, this interval created is the mean ± 1 standard deviation, i.e. µ ± s. For this value of K the minimum proportion of observations contained in the interval is
1 + (1/K)^2 + 1 1/1 = 11 = 0
When K = 2, the interval is µ ± 2s and the minimum proportion observation in the interval is:
1 – (1/)2 = 1 –1/4= 3/4.
When K = 3, interval is µ ± 3s and the minimum proportion of items in the interval is:
1 – (1/3)2 = 1  1/9 = 8/9
Posted Date: 1/31/2012 11:37:45 PM  Location : United States
Ask an Expert
Related Discussions:
Tchebycheffs theorem, Statistics, Assignment Help, Ask Question on Tchebycheffs theorem, Statistics, Get Answer, Expert's Help, Tchebycheffs theorem, Statistics Discussions
Write discussion on Tchebycheffs theorem, Statistics
Your posts are moderated
Write your message here..
Related Questions
Recruitment process process map, What are the steps in a recruitment proces...
What are the steps in a recruitment process and who are responsible for each step?
Statistic, any of your writer able to use the database given to generate th...
any of your writer able to use the database given to generate the null, alternative..etc.. into a power point presentation
Statistics Project, I will submit a file that explains what is supposed to ...
I will submit a file that explains what is supposed to be done in order to complete the project. And, another file will be submitted that has the blanks in it. I need the work to b
Isotopes and Isotones and Isobars , Isotopes Elements having same atomic ...
Isotopes Elements having same atomic number Z, but different A mass number for example 126C, 146C and 11H 21H, 31H are isotopes of carbon and hydrogen. Isotones Elements havi
Simple Random Selection, What is the properties of a simple random sample w...
What is the properties of a simple random sample when 50 females are numbered 1 through 50, and males are numbered 51 through 100?
Allocation surrounding to accounts, Allocation surrounding to accounts An a...
Allocation surrounding to accounts An aspect of a lumpsum appropriation that is specific for expenses by particular government models and/or for particular requirements, actions,
SOURCES OF PRIMARY DATA, LIST OUT THE SOURCES OF PRIMARY AND SECONDARY DAT...
LIST OUT THE SOURCES OF PRIMARY AND SECONDARY DATA
Cash discount., Cash discount A payment received, given if payment is comp...
Cash discount A payment received, given if payment is completed within a stated age of occasion, Refer to TRADE DISCOUNT,
Website needed, Where can I find statistics on how goal setting can help el...
Where can I find statistics on how goal setting can help elementary students?
3month absolute deviation, For our class homework we prepared a 3month fo...
For our class homework we prepared a 3month forecast for sales (12 months with actual sales for each month). What or how do we figure the absolute deviation of the 3month foreast
Assignment Help
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
IT Courses and Help
ExpertsMind Services
Online Tutoring
Projects Assistance
Exam Preparation
Coursework Help
Programming Courses
Engineering Courses
Why Us ?
~Experienced Tutors
~24x7 hrs Support
~Plagiarism Free
~Quality of Work
~Time on Delivery
~Privacy of Work