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

Express the null hypothesis, Examine the given statement, then express the ...

Examine the given statement, then express the null hypothesis H0 and the alternative hypothesis H1 in symbolic form. The mean weight of women who won a beauty pageant is equal t

Find the probability customers pay their bill in full, The proportion of Am...

The proportion of American Express credit-card holders who pay their credit card bill in full each month is 23%; the other 77% make only a partial or no payment. (a) In a random

The incidence of occupational disease , The incidence of occupational disea...

The incidence of occupational disease in an industry is such that the workers have a 20% chance of suffering from it. What is the probability that out of six workers 4 or more will

Probability, In 120 tosses of a coin, 45 heads and 75 tails are observed. ...

In 120 tosses of a coin, 45 heads and 75 tails are observed. Is this a balanced coin? Use a=0.05. (Follow the basic steps of hypothesis testing)

Standard cost method, Under the standard cost method which is also referred...

Under the standard cost method which is also referred as the standard cost method ,stock receipts are assigned a standard cost. Any variations between the actual cost and standard

Mean absolute deviation, Mean Absolute Deviation To avoid the problem o...

Mean Absolute Deviation To avoid the problem of positive and negative deviations canceling out each other, we can use the Mean Absolute Deviation which is given by

Time series, what is the use of applied statistic in our daily routin life

what is the use of applied statistic in our daily routin life

Weighted harmonic mean, Weighted Harmonic Mean Weighted Harmonic ...

Weighted Harmonic Mean Weighted Harmonic Mean is calculated with the help of the following formula: WHM Case

Admixture in human populations, Admixture in human populations The inte...

Admixture in human populations The inter-breeding amongst the two or more populations which were previously isolated from each other for the geographical or the cultural reason

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