Harmonic mean, Applied Statistics

Assignment Help:

Harmonic Mean

 The harmonic mean  also called harmonic  average, in the total numbers of items of variable divided by the sum of r reciprocals of the values of the variable. In the words of W. I.G reenwald, the harmonic mean is defined as the reciprocal of the arithmetic mean of the reciprocals of a serried.  For its calculations we must first learn the reciprocals.

Reciprocals the reciprocal of a value is that quotient obtained by diving  i with the given value. For example, reciprocal of the value 2 will be ½  or 0.5  of the value 1/4 or 0.25 and so on .Reciprocals can be computed  with the help of tables given in appendix with the tables in appendix. 

Use of Harmonic Mean: 

This measure of averages can be used in the following cases:

(1)   To compute average speed. When speed is given in kilometres per hour, distance is variable and time  is  constant. On the other hand when speed is given in minutes for each kilometric time is variable and distance would be constant.

(2)   To find out average of prices:  When rate may be as follows:

(3)   To study about velocity etc, it is a useful average. In short we may say  that harmonic mean  is useful in averaging rates and ratios where time factor is  variable and the act being performed ( say distance covered )is constant. The example given will clarify this point. 


Related Discussions:- Harmonic mean

Methods of forecasting, Methods of Forecasting  Various techniques whic...

Methods of Forecasting  Various techniques which are generally used in business forecasting are as under: 1.      Forecasting  through the opinion of heads  of department

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

Level of significance, Level of Significance: α The main purpose of hyp...

Level of Significance: α The main purpose of hypothesis testing is not to question the computed value of the sample statistic, but to make judgment about the difference between

Standard deviation , Standard Deviation  The concept of standard deviat...

Standard Deviation  The concept of standard deviation was first introduced by Karl Pearson in 1893. The standard deviation is the most important and the popular measure of disp

Write out the estimator of the linear combination, Now, let's look at a dif...

Now, let's look at a different linear combination. Suppose we are interested n comparing the average mean log income for no college education ( 16). 1. Write out the linear com

Calculate the seasonal indexes , The total number of overtime hours (in 100...

The total number of overtime hours (in 1000s) worked in a large steel mill was recorded for 16 quarters, as shown below. Year Quarter Overtime hour

Explain graph theory, For each of the following scenarios, explain how grap...

For each of the following scenarios, explain how graph theory could be used to model the problem described and what a solution to the problem corresponds to in your graph model.

Number of principal components, While there are p original variables the n...

While there are p original variables the number of principal components is m such that m

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