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

Linear regression, Linear Regression Generally, in two mutually related...

Linear Regression Generally, in two mutually related statistical series, the regression analysis based on graphic method. Under graphic method the values  of X and Y variable

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

JET Copies Case Problem, Read the “JET Copies” Case Problem on pages 678-67...

Read the “JET Copies” Case Problem on pages 678-679 of the text. Using simulation estimate the loss of revenue due to copier breakdown for one year, as follows: 1. In Excel, use a

Production took place, Scenario: To fundraise for middle school camp the ye...

Scenario: To fundraise for middle school camp the year 3 and 4 syndicate designed and produced chocolate treats to sell to the year 1 and 2, and year 5 and 6 students at morning te

Data project, Choose any published database from the internet or Bethel lib...

Choose any published database from the internet or Bethel library (such as those from the Census Bureau or any financial sites). You may opt to use one of the data files provided b

#vital statistics, # I have to make assignment on vital statistics so kindl...

# I have to make assignment on vital statistics so kindly guide me how to make and get good marks

Package design ratings, Consider the sample of 60 package design ratings gi...

Consider the sample of 60 package design ratings given in the table below.                                    A Sample of Package Design Ratings                 (Composite S

Probability of remaining paint free, In a three-cornered paint ball duel, A...

In a three-cornered paint ball duel, A, B, and C successively take shots at each other until only one of them remains paint free. The three paint ballers have different probabiliti

Statistical procedures - estimation of a mean, Old Faithful Geyser in Yello...

Old Faithful Geyser in Yellowstone National Park derives its names and fame from the regularity (and beauty) of its eruptions. Rangers usually post the predicted times of eruptions

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