Arithmetic average or mean, Applied Statistics

Assignment Help:

Arithmetic Average or Mean

The arithmetic mean is the most widely and the most generally understandable of all the averages. This is clear from the reason that when the term   mean is used alone it always refers to the arithmetic mean. According to croxton and Cowden ,The arithmetic  mean of a series  of items is obtained by adding the value of the items and dividing by the numbers of  in the words of H Sadist , Arithmetic mean  is the amount secured by living  the sum of values of the  items in a series by their number  F. C.Mills says  the arrhythmic mean is the centre of gravity of a distribution .

Kinds of Arithmetic Mean: The arithmetic mean is of two kinds

(1)   Simple Arithmetic Mean

(2)   Weighted Arithmetic Mean

(1)   Simple Arithmetic Mean: When all the values of a statistical series are given equal importance, the values is divided by number of items it is called simple Arithmetic Mean. 

(2) Weighted Arithmetic Mean:  Sometimes a statistical series comprises of different values of different importance. As such it becomes essential to give weight age to different values according to their relative important which are called weight. As such the different values are multiplied with their respective weight. The total of the product so obtained is divided by the total of weights.  The quotient is called weighted arithmetic mean.        


Related Discussions:- Arithmetic average or mean

Kurtosis and skew, how to interpret results, a good explanation to help me ...

how to interpret results, a good explanation to help me understand.

The sum of mean and variance, the sum of mean and variance ofabinomia distr...

the sum of mean and variance ofabinomia distribution of 5 trials is 9/5, find the binomial distribution.

Statistical definition of probability, Statistical Definition of probabilit...

Statistical Definition of probability: Ques: (a) (i)  Distinguish Statistical Definition of probability from the Classical Definition.                  (ii) State the A

Simple linear regression, Simple Linear Regression   While correlati...

Simple Linear Regression   While correlation analysis determines the degree to which the variables are related, regression analysis develops the relationship between the var

Good average, Examine properties of good average with reference to AM, GM, ...

Examine properties of good average with reference to AM, GM, HM, MEAN MEDIAN MODE

Calculate the current ratio and quick ratio, You were recently hired by E&T...

You were recently hired by E&T Boats, Inc. to assist the company with its financial planning and to evaluate the company's performance.  E&T Boats, Inc. builds and sells boats to o

Multivariate analysis, Multivariate analysis involves a set of techniques t...

Multivariate analysis involves a set of techniques to analyse data sets on more than one variable. Many of these techniques are modern and often involve quite sophisticated use of

Mathematical properties of arithmetic mean, Mathematical Properties ...

Mathematical Properties The sum of deviations of the items from the arithmetic mean (taking signs into account) is always zero, i.e.      = 0. The sum of

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