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

Calculate the ratio of the sample standard deviation, The Case Study includ...

The Case Study included information about the price for a full meal before and after the law change (in dollars).  Of interest is whether the differences in price for a full meal b

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 ..

Estimate a linear probability model, Estimate a linear probability model: ...

Estimate a linear probability model: Consider the multiple regression model: y = β 0 +β 1 x 1 +.....+β k x k +u Suppose that assumptions MLR.1-MLR4 hold, but not assump

Vector of a company, Suppose both the Repair record 1978 and Company headqu...

Suppose both the Repair record 1978 and Company headquarters are believed to be significant in explaining the vector (Price, Mileage, Weight). Here, because of the limited sample s

What are the hypotheses, Assume that a simple random sample has been select...

Assume that a simple random sample has been selected from a normally distribute population and test the given claim. Identify the null and alternative hypotheses, test statistic,

Find the optimal adaptive meshes for a skewed beta density, Show that the I...

Show that the ISB in a bin containing the origin of the double exponen-tial density, f(x) = exp(-|x|)/2, is O(h 3 ); hence, the discontinuity in the derivative of f does not have a

Finding the z-score, 10. If a set of scores has a sample mean of 25 and a s...

10. If a set of scores has a sample mean of 25 and a sample variance of 4, find the following: a. the z-score for a raw score of 31 b. the z-score for a raw score of 18 c. the raw

Cluster sampling, Cluster Sampling Here the population is divide...

Cluster Sampling Here the population is divided into clusters or groups and then Random Sampling is done for each cluster. Cluster Sampling differs from Stratified Sampl

Control chart, construction of control chart,n chart

construction of control chart,n chart

Small sample test for mean, If the sample size is less than 30, then we nee...

If the sample size is less than 30, then we need to make the assumption that X (the volume of liquid in any cup) is normally distributed. This forces    (the mean volume in the sam

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