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

Introduction to multiple regression, In simple regression the dependent var...

In simple regression the dependent variable Y was assumed to be linearly related to a single variable X. In real life, however, we often find that a dependent variable may depend o

Types of sampling, Given a certain population there are various ways in whi...

Given a certain population there are various ways in which a sample may be drawn from it. The chart below illustrates this point: Figure 1 In  Judgem

Uses of arithmetic mean, Uses Arithmetic mean is widely used beca...

Uses Arithmetic mean is widely used because of the following reasons: Mean is the simplest average to understand and easy to compute. It

Determine nash equilibria, Two students are sitting in a lecture and consid...

Two students are sitting in a lecture and considering whether to ask a question from the professor (both of them are considering the same question). If they both ask, the questi

Logistic regression model, A marketing research firm was engaged by an auto...

A marketing research firm was engaged by an automobile manufacturer to conduct a pilot study to examine the feasibility of using logistic regression for ascertaining the likelihood

Collaboration policy,  Each question, by default, should be solved INDIVID...

 Each question, by default, should be solved INDIVIDUALLY, unless marked as \collaborative". Questions marked as \collaborative" implies that for those questions you are encourage

Which average is to be used to describe statistical data?, There ar...

There are situations where none of the three averages is fully satisfactory. For example, if the number of items in a series is very small, none of these av

Ryan-joiner - normal probability plot, The Null Hypothesis - H0:  The rando...

The Null Hypothesis - H0:  The random errors will be normally distributed The Alternative Hypothesis - H1:  The random errors are not normally distributed Reject H0: when P-v

Measurement error models., how can we use measurement error method with eig...

how can we use measurement error method with eight responses variables (we do not have explanatory variable in the data )?.the data analyse 521 leaves ..

Harmonic mean, The Harmonic Mean is based on the reciprocals of numbers ave...

The Harmonic Mean is based on the reciprocals of numbers averaged. It is defined as the reciprocal of the arithmetic mean of the reciprocal of the given individual observations. Th

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