Mathematical properties of arithmetic mean, Applied Statistics

Mathematical Properties

  1. The sum of deviations of the items from the arithmetic mean (taking signs into account) is always zero, i.e.   1507_mathematical properties.png   = 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.   806_mathematical properties1.png   is less than   564_mathematical properties2.png  where A is any other point, different from   1888_arithmetic mean.png  .

  3. Since,   1888_arithmetic mean.png  =   2284_mathematical properties3.png  , (N x   1888_arithmetic mean.png  ) =   919_mathematical properties4.png  .

  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:

2215_mathematical properties5.png


/(N1+N2)

 

where,

975_mathematical properties6.png

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







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
Related Questions
Prediction Inte rval We would like to construct a prediction interval around    which would contain the actual Y. If n  ≥  30,     ± Zs e  would be the interval, where Z

Agency revenues. An economic consultant was retained by a large employment agency in a metropolitan area to develop a regression model for predicting monthly agency revenues ( y ).

(1) What values can the response variable Y take in logistic regression, and hence what statistical distribution does Y follow? The response variable can take the value of either

Your organization purchases bottles of a popular commercial solvent for resale.  Each bottle is labeled as containing 32 fluid ounces of the solvent.  Your cont

A.    Do the correlation matrix table. B.    Which variable (s) has the largest correlation coeffieient which is not a perfect correlation? C.    Which variable (s) has the s

Admissibility A very common concept which is applicable to any procedure of the statistical inference. The underlying notion is that the procedure/method is admissible if and o

Systematic Random Sampling This method  is generally used in such cases where a complete list of the population is available from which sample has to be selected. Under this

Is the random vector (Trunk Space, Length, Turning diameter) of US car normally distributed? Why? If yes, find the unbiased estimators for the mean and variance matrix of (Trunk Sp

Cartogram or Mapograph:   Statistical maps are also used to represent data like density of population indifferent states in the country or different countries in the world or th

A.The coupon rate of Erie-Chicago Rail is 7%. The interest rate of Florida municipal bond with equal risk is 6%.  At what tax rate the two bonds are as good as each other B.Supp