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

Histogram, Histogram: It is generally used for charting continuous fre...

Histogram: It is generally used for charting continuous frequency   distribution. In histogram, data are plotted as a series  of rectangle one over the other. Class intervals

Calculate total surplus, When the number of farmers growing wheat in Russia...

When the number of farmers growing wheat in Russia increases, the increase in world supply lowers the world price of wheat. Draw an appropriate diagram to analyze how this chang

Binomial distribution, Binomial Distribution Binomial distribution  was...

Binomial Distribution Binomial distribution  was discovered by swiss mathematician James  Bernonulli, so this distribution is called as Bernoulli distribution also, this is a d

Bionomial, The Quality Manager of a battery manufacturing plant reviewed th...

The Quality Manager of a battery manufacturing plant reviewed the warranty records within his department and found that 4% of the low maintenance batteries produced at the plant ov

Business staitistices- soltion to :, A file on DocDepot in the assignments ...

A file on DocDepot in the assignments folder on doc-depot called bmi.mtp contains data on the Body Mass Index (BMI) of a population of Ottawa residents. The first column identifies

Regression, The 4 assumptions of regression: 1.       Variables are norm...

The 4 assumptions of regression: 1.       Variables are normally distributed 2.       Linear relationship between the independent and dependent variables 3.       Homosced

Systematic sampling, Systematic Sampling In Systematic Sampling ...

Systematic Sampling In Systematic Sampling each element has an equal chance of being selected, but each sample does not have the same chance of being selected. Here,

Calculate the standard deviation, Zinc is a trace element and it is importa...

Zinc is a trace element and it is important in wound healing, building up the immune system and DNA synthesis. The data in Table 1 represents the zinc intake (in milligrams) for a

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