Standard deviation, Applied Statistics

Assignment Help:

Standard Deviation

The main drawback of the deviation measures of dispersion, as discussed earlier, is that the positive and negative deviations cancel out each other. Use of the mean absolute deviation overcomes this problem, but creates another. It is difficult to deal with a quantity like 378_mean absolute deviation1.png  algebraically.The standard deviation is an improved measure of dispersion. Calculation of the standard deviation involves the following four steps:

  1. Calculation of deviations of the observations from the mean.

  2. Squaring each deviation.

  3. Finding the mean of the squared deviations obtained in step (2).

  4. Taking the positive square root of the mean found in step (3).

    The standard deviation is denoted by 'σ'

    so, σ = 649_standard deviation.png

    where,

             X   denotes each observation

             μ          is the arithmetic mean of the population

             N   is the number of observations


Related Discussions:- Standard deviation

Index number, "index number is an economic barometer" comment on this state...

"index number is an economic barometer" comment on this statement

Data project, Dr. Jim Mirabella UNIT EIGHT: DATA ANALYSIS PROJECT All Excel...

Dr. Jim Mirabella UNIT EIGHT: DATA ANALYSIS PROJECT All Excel output should be copied into a single Word document where you must enter all of your responses to the questions below.

Decision making ., it is said that management is equivalent to decision mak...

it is said that management is equivalent to decision making? do you agree? explain

Arithmetic average or mean, Arithmetic Average or Mean The arithmetic m...

Arithmetic Average or Mean The arithmetic mean is the most widely and the most generally understandable of all the averages. This is clear from the reason that when the term

Redundancy analysis, In reduced rank regression (RRR), the dependent var...

In reduced rank regression (RRR), the dependent variables are first submitted to a PCA and the scores of the units are then used as dependent variables in a series of

Question with R - Bioinformatics, Hi There, I have a question regarding R,...

Hi There, I have a question regarding R, and I am wondering if anyone can help me. Here is a code that I would like to understand: squareFunc g f(x)^2 } return(g) } sin

Regression model, Using a random sample of 670 individuals for the populati...

Using a random sample of 670 individuals for the population of people in the workforce in 1976, we want to estimate the impact of education on wages. Let wage denote hourly wage in

Purposive or judgement sampling, Purposive or Judgement Sampling Under ...

Purposive or Judgement Sampling Under this method of sampling, the choice  of selection of sample  items from the universe  depends exclusively on the judgement  of the investi

Optimal number of cluster, Try different numbers of clusters in your progra...

Try different numbers of clusters in your program (K=2...15) and build a plot that shows the dependency between number K and value of RSS function on the last iteration. What is th

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