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

Estimation error on apparent arbitrage, This question explores the effect o...

This question explores the effect of estimation error on apparent arbitrage opportunities in a controlled simulation setting. We simulate returns for N = 10 assets over T = 30 year

Schedule, Schedule Schedule is also used for the collection of primary ...

Schedule Schedule is also used for the collection of primary data. A schedule is a list of question. it is a device of obtaining answer to the questions in a form which is fill

Markov Chain, Each weekend, Derek either reads a book (B), goes to the cine...

Each weekend, Derek either reads a book (B), goes to the cinema (C), visits his local museum (M), or plays squash (S). If he reads a book one weekend, then he will take part in one

Index number of price for paasche’s method, Construct index numbers of pri...

Construct index numbers of price for the following data by applying: i)      Laspeyre’s method ii)     Paasche’s method iii)    Fisher’s Ideal Index number

Simple linear regression model, The data le for this assignment is brain-b...

The data le for this assignment is brain-body-wts.txt, which lists the averages brain weights (gm) and body weights (kg) for a number of animal species. Your task is to t an appr

Two-tailed and one-tailed tests, If the test is two-tailed, H1:  μ ≠  μ 0  ...

If the test is two-tailed, H1:  μ ≠  μ 0  then the test is called two-tailed test and in such a case the critical region lies in both the right and left tails of the sampling distr

Evaluate minimum capability requirement, You are currently working wit...

You are currently working with a supplier who is producing a shaft whose diameter specification is 6.00 ± .003 inches.  Currently, the process is yielding shafts wit

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