Standard deviation, Applied Statistics

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

Posted Date: 9/14/2012 3:03:48 AM | Location : United States







Related Discussions:- Standard deviation, Assignment Help, Ask Question on Standard deviation, Get Answer, Expert's Help, Standard deviation Discussions

Write discussion on Standard deviation
Your posts are moderated
Related Questions

A medical researcher has 100 bone cancer patients in a study. Every patient's condition is one of six types, type \A" to type \F". The 100 patients split as follows: x There

Variance The term variance was used to describe the square of the standard deviation by R.A.Fisher. The concept of variance is highly important in areas where it is possible to

Systematic Sampling In Systematic Sampling each element has an equal chance of being selected, but each sample does not have the same chance of being selected. Here,

Frequency distribution A frequency distribution is a series where a number of items with similar values are put in separate groups or bunches. In other words a frequency distri

A study was conducted to determine the amount of heat loss for a certain brand of thermal pane window. Three different windows were randomly subjected to each of three different ou



Problem : A company supplying electrical products, places a rush order for electric wires. Consignments of wires are to be sent immediately when they are available. Previous

Your company has developed a new product .Your company is a reputed company with 50% market share of same range of products. Your competitors also come with their new products equa