Mathematical Properties

1. The sum of deviations of the items from the arithmetic mean (taking signs into account) is always zero, i.e.      = 0.

2. The sum of the squared deviations of the items from arithmetic mean is less than the sum of the squared deviations of the items from any other value, i.e.      is less than     where A is any other point, different from     .

3. Since,     =     , (N x     ) =     .

4. If we have the arithmetic mean and number of items of two or more than two groups, we can compute combined average of these groups, by applying the following formula:

/(N1+N2)

where,

Posted Date: 9/14/2012 1:37:47 AM | Location : United States

Ask an Expert

Related Discussions:- Mathematical properties of arithmetic mean, Assignment Help, Ask Question on Mathematical properties of arithmetic mean, Get Answer, Expert's Help, Mathematical properties of arithmetic mean Discussions

Write discussion on Mathematical properties of arithmetic mean
Your posts are moderated

Write your message here..

Related Questions

Testing of hypothesis, Testing of Hypothesis One objective of sampling... Testing of Hypothesis One objective of sampling theory is Hypothesis Testing. Hypothesis testing begins by making an assumption about the population parameter. Then we gather

Perform a simple linear regression analysis, In New Jersey, banks have been... In New Jersey, banks have been charged with withdrawing from counties having a high percentage of minorities. To substantiate this charge, data is presented in the table below conc

Probability, There are 15 types of ice cream: A,B,C,D,E,F,G,H,I,J,K,L,M,N, ... There are 15 types of ice cream: A,B,C,D,E,F,G,H,I,J,K,L,M,N, and O. How many combinations are there to sample 5 flavors if you sample 1 flavor 4 times? How many combinations are t

Coefficient of variation, Coefficient of Variation or C.V. To compare t... Coefficient of Variation or C.V. To compare the variability between or more series, coeffiecnt of variation is used, it is relative measure of dispersion, it innovated and used

Explain ridge regression, Using log(x1), log(x2) and log(x3) as the predict... Using log(x1), log(x2) and log(x3) as the predictors, do pair wise scatterplots of all pairs of variables (including the response) and comment (use the pairs function). Do you thin

Technical report in buildin a simple linear regression model, how much that... how much that cost ?

Harmonic mean, Harmonic Mean  The harmonic mean  also called harmonic  ... Harmonic Mean  The harmonic mean  also called harmonic  average, in the total numbers of items of variable divided by the sum of r reciprocals of the values of the variable. In

Define the partial market equilibrium model, Q. The following system of equ... Q. The following system of equations illustrates the algebraic form of a partial (individual) market equilibrium model, which is a model of price (P) and quantity (Q) determination

Characteristics of index number, Characteristics of Index Number  On th... Characteristics of Index Number  On the analysis of various definitions of index number the following may be its characteristics: 1.      Expressed in Number : Index number

Combined standard deviation, How to a calculate the combined standard devia... How to a calculate the combined standard deviation for five groups (samples)?