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

Determine the closed loop speed transfer function, In the case of permanent...

In the case of permanent magnet DC motor whose stator consists of a permanent magnet we can take the field current to be constant (i.e. a constant magnetic field) and it can be sho

Standard erro, practical application of standard error

practical application of standard error

Null and alternative hypothesis, 1) Suppose you want to test a hypothesis t...

1) Suppose you want to test a hypothesis that two treatments, A and B, are equivalent against the alternative that the response for A tend to be larger than those of B. You plan to

Option price binomial tree, Modify your formulas from (1) to compute the pr...

Modify your formulas from (1) to compute the price at time 0 of an American put option with the same contract speci cations in the binomial model. Report the price of the American

Find the conditional distribution of turning diameter, 1. Assume the random...

1. Assume the random vector (Trunk Space, Length, Turning diameter) of Japanese car is normally distributed and the unbiased estimators for its mean and variance are the truth. For

Appropriate statistical test, I would like to know what the appropriate sta...

I would like to know what the appropriate statistical test is for investigating an association between a nominal variable and an ordinal variable assuming normal distribution? It''

Chi-square test, Consider the following linear regression model:      a)...

Consider the following linear regression model:      a) What does y and x 1 , x 2 , . . . . x k represent?      b) What does β o , β 1 , β 2 , . . . . β k represent?

Techniques, Q. 1 a) Describe the important quantitative techniques used in ...

Q. 1 a) Describe the important quantitative techniques used in public system management. (10) b) Do you think the day will come when all decisions are made with the assistance of

Andrews ‘plots, Andrews ‘Plots A graphical display of multivariate da...

Andrews ‘Plots A graphical display of multivariate data in which an observation, x0 = [x1, x2, . . . , xq] is represented can be represented in the form of function A set

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