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

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

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

Estimate the standard deviation of the process, Estimate the standard devia...

Estimate the standard deviation of the process: Draw the X (bar) and R charts for the data given and give your comments about the process under study. Estimate the standard de

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

Calculate the maximum charge current, For the circuit shown below; Wr...

For the circuit shown below; Write a KCL equation for Node A, Node B, Node C and Node D. Write a KVL equation for Loop 1, Loop 2 and Loop 3.   A simple circ

Advantages of mode, Advantages By definition, mode is the most typic...

Advantages By definition, mode is the most typical or representative value of a distribution. Hence, when we talk of modal wage, modal size of shoe or modal size of family i

Binomial and continuous model, Exercise: (Binomial and Continuous Model.) C...

Exercise: (Binomial and Continuous Model.) Consider a binomial model of a risky asset with the parameters r = 0:06, u = 0:059, d =  0:0562, S0 = 100, T = 1, 4t = 1=12. Note that u

Use of statistical tool, #question what is the statistical process to redu...

#question what is the statistical process to reduce hardness of water

Financial payments technology, Suppose the money supply process is now repr...

Suppose the money supply process is now represented by the following function: where m measures the sensitivity of money supply with respect to the interest rate. (i) Us

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