Login

Create Account
Customer Service Chat
+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
Mode, things to be investigate in mode
things to be investigate in mode
Correlation coefficient for X and Y, Calculate Correlation coefficient for ...
Calculate Correlation coefficient for X and Y, Statistics Homework • Variable X x • Variable Y y • Calculate: • zscores for all values in the variables • correlation coefficien
What is sample population, Q. What is Sample Population? Choosing a sam...
Q. What is Sample Population? Choosing a sample population is one of the most important factors in gathering statistical data because all of the claims will be based on the sam
What is the margin of error, The National Quality Research Center at the Un...
The National Quality Research Center at the University of Michigan provides a quarterly measure of consumer opinions about products and services (The Wall Street Journal, February
Estimate the national level ndp, In the 2011 federal election, 30.6% of the...
In the 2011 federal election, 30.6% of the electorate voted for the New Democratic Party (NDP). (a) A year later, a national poll of 1836 respondents indicated that 36% support the
Advantages of ifrs over the other accounting standards, IFRS has a lot of a...
IFRS has a lot of advantages over the other accounting standards  Provides consistency Ensures better comparability across organizations across the globe Decreases the c
Cash disbursements, Cash disbursements Cash disbursements are any or more ...
Cash disbursements Cash disbursements are any or more moneys [egg, checks: money: warrants: credit, debit card amounts: & EFTs [Electronic Fund Transfers) paid by the state during
Determine the variance, A gambling machines works in the following way. The...
A gambling machines works in the following way. The player inserts a penny into 1 of 5 slots which are colored Blue, Red, Orange, Yellow & Green corresponding to 5 colored light bu
Statistics for management, characteristics of statistics and any two applic...
characteristics of statistics and any two application of statistics
Nm, Ask question #Mmnhkinimum 100 words accepted#
Ask question #Mmnhkinimum 100 words accepted#
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
ExpertsMind Services
Online Tutoring
Projects Assistance
Exam Preparation
Coursework Help
Programming Help
IT Services
Why Us ?
~Experienced Tutors
~24x7 hrs Support
~Plagiarism Free
~Quality of Work
~Time on Delivery
~Privacy of Work