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

Appropriate statistical test, I would like to know what the appropriate sta...

I would like to know what the appropriate statistical test is for investigating an association between a nominal variable and an ordinal variable assuming normal distribution? It''

Ogive percentile, how do i determine the 40th percentile in an ogive graph

how do i determine the 40th percentile in an ogive graph

Testing of hypothesis, Testing of Hypothesis One objective of sampling...

Testing of Hypothesis One objective of sampling theory is Hypothesis Testing. Hypothesis testing begins by making an assumption about the population parameter. Then we gather

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

#Probablility, #In planning the teaching assignments for next semester, Mr....

#In planning the teaching assignments for next semester, Mr. Hinton must have a teacher in each of the 7 grades during each of the 6 periods of the day. If he has 10 teachers to ch

Mean absolute deviation, Mean Absolute Deviation To avoid the problem o...

Mean Absolute Deviation To avoid the problem of positive and negative deviations canceling out each other, we can use the Mean Absolute Deviation which is given by

Spatial ability test, What would be the cutoff score to indicate a score th...

What would be the cutoff score to indicate a score that is in the top 15% of the scores on a test with a mean of 100 and a standard deviation of 15? This question has multiple p

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

Estimation, what do we mean by critical region

what do we mean by critical region

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