Mathematical properties of arithmetic mean, Applied Statistics

Assignment Help:

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


Related Discussions:- Mathematical properties of arithmetic mean

Advantages of sampling, Advantages of Sampling Why should we settle on ...

Advantages of Sampling Why should we settle on a sample instead of studying the entire population?  Sampling has the following advantages over a census (study of the entire pop

Statistical errors, Statistical Errors              Statistical data ar...

Statistical Errors              Statistical data are obtained either by measurement or by observation. Hence to think of perfect accuracy is only a delusion or a myth, It is no

Data project, Dr. Jim Mirabella UNIT EIGHT: DATA ANALYSIS PROJECT All Excel...

Dr. Jim Mirabella UNIT EIGHT: DATA ANALYSIS PROJECT All Excel output should be copied into a single Word document where you must enter all of your responses to the questions below.

Variance, Variance The term variance was used to describe the square of...

Variance The term variance was used to describe the square of the standard deviation by R.A.Fisher. The concept of variance is highly important in areas where it is possible to

Active control equivalence studies (aces), Active Control Equivalence Studi...

Active Control Equivalence Studies (ACES) Clinical trials the field in which the object is easy to show that the new treatment is  as good as the existing treatment. Such type

Purposive or judgement sampling, Purposive or Judgement Sampling Under ...

Purposive or Judgement Sampling Under this method of sampling, the choice  of selection of sample  items from the universe  depends exclusively on the judgement  of the investi

QHA, Your employer, Quick Hit Agency (QHA), is a debt collections agency. T...

Your employer, Quick Hit Agency (QHA), is a debt collections agency. The company specializes in collecting small accounts. QHA does not deal in large accounts and does not take on

Econometrics, implications of multicollinearity

implications of multicollinearity

Using the asymptotic distribution test the hypothesis, You are interested i...

You are interested in testing the distance of two golf balls, Brand A and Brand B. You take a random sample of 100 golfers, each of whom hits Brand A once and Brand B once. Define

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd