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
Each section of the SAT test is supposed to be distributed normally with a mean of 500 and a standard deviation of 100. Suppose 5 students in a class took the SAT math test. They r

What is a null hypothesis? ..

a b c d e supply p 3 4 6 8 8 20 q 2 6 0 5 8 30 r 7 11 20 40 3 15 s 1 0 9 14 6 13 d 15 3 12 10 20

MARKS IN LAW :10 11 10 11 11 14 12 12 13 10 MARKS IN STATISTICS :20 21 22 21 23 23 22 21 24 23 MARKS IN LAW:13 12 11 12 10 14 14 12 13 10 MARKS IN STATISTICS:24 23 22 23 22 22 24 2


Quota sampling Under this method enumerators shall select the respondents in place of those not available, as per the quota fixed according  to guide lines   provided to them.

In a three-cornered paint ball duel, A, B, and C successively take shots at each other until only one of them remains paint free. Once hit, a player is out of the game and gets no

CALCULATE THE PERCENTAGE OF REFUNDS EXPECTED TO EXCEED $1000 UNDER THE CURRENT WITHHOLDING GUIDELINES

a) List down several measures of central tendency and define the difference among them? b) What do you mean by confidence interval, and why it is useful? What is a confidence lev

Advantages By definition, mode is the most typical or representative value of a distribution. Hence, when we talk of modal wage, modal size of shoe or modal size of family i