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

Determine the matrix of the transformation, Consider the linear transformat...

Consider the linear transformation (a) Find the image of (3 , -2 , 2) under T. (b) Does the vector (5, 3) belong to the range of T? (c) Determine the matrix of the transf

Rank correlation, Rank Correlation Sometimes the characteristics whose ...

Rank Correlation Sometimes the characteristics whose possible correlation is being investigated, cannot be measured but individuals can only be ranked on the basis of the chara

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 ..

Canonical correlation analysis, Canonical correlation analysis (CC) allows ...

Canonical correlation analysis (CC) allows the investigation of the relationship between two ,sets of variables. For example, a sociologist may want to investigate the Relationship

Calculation for discrete series or ungrouped data , Calculation for Discre...

Calculation for Discrete Series or Ungrouped Data The formula for computing mean is = where,          f  = fr

Statistical errors, Statistical Errors              Statistical data ar...

Statistical Errors              Statistical data are obtained either by measurement or by observation. Hence to think of perfect accuracy is only a delusion or a myth, It is no

Simulation - analytical approach, Analytical Approach We will illustra...

Analytical Approach We will illustrate this through an example. Example 1 A firm sells a product in a market with a few competitors. The average price charged by the

Sensitivity and Specificity tests, The prevalence of undetected diabetes in...

The prevalence of undetected diabetes in a population to be screened is approximately 1.5% and it is assumed that 10,000 persons will be screened. The screening test will measure

Calculate the damping ratio for each system, (i) Plot the step responses of...

(i) Plot the step responses of the following second order systems and state the nature of each system. For each case, find the poles and plot the location of the poles in the compl

Assumptions in regression, Assumptions in Regression To understand the...

Assumptions in Regression To understand the properties underlying the regression line, let us go back to the example of model exam and main exam. Now we can find an estimate o

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