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

The cost of living index, The cost of living index number on a some data wa...

The cost of living index number on a some data was 200. From the base period, the percentage enhances in prices were-Rent Rs 60, clothing Rs 250, Fuel and Light Rs 150 and Miscella

Index number , how to write result in the end of price index number problem...

how to write result in the end of price index number problem

Probability and expectation, Ten balls are put in 6 slots at random.Then ex...

Ten balls are put in 6 slots at random.Then expected total number of balls in the two extreme slots

Analysis of variance for the data, Analysis of Variance for the data: ...

Analysis of Variance for the data: Draw a random sample of size 25 from the following data : (a) With Replacement and   (b) Without Replacement and obtain Mean and Varia

Probability, Ask queFrom these studies, which of the following may be consi...

Ask queFrom these studies, which of the following may be considered a variable that can have a probability distribution? [I] Percentage of Sub-Saharan Africans that smoke [II] Perc

T test, What is an example of a real life situation when I would use each o...

What is an example of a real life situation when I would use each of these test

Box plot of income, The box plot displays the diversity of data for the inc...

The box plot displays the diversity of data for the income; the data ranges from 20 being the minimum value and 1110 being the maximum value. The box plot is positively skewed at 4

Simple regression, Simple Regression: The Teacher Preparation Researc...

Simple Regression: The Teacher Preparation Research Team conducted a study of college students who took the Praxis II-a teacher certification examination. Some variables from

Large-sample and small-sample simulations, Show that when h = h* for the h...

Show that when h = h* for the histogram, the contribution to AMISE of the IV and ISB terms is asymptotically in the ratio 2:1. Compare the sensitivity of the AMISE(ch) in Equa

Number of principal components, While there are p original variables the n...

While there are p original variables the number of principal components is m such that m

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