Sample standard deviation, Applied Statistics

Sample Standard Deviation

So far, we discussed the population standard deviation. Now, let us switch to sample standard deviation(s) that is analogous to the population standard deviation ( σ ). To compute sample standard deviation, the same formula given above has been used replacing  μ  with  2390_arithmetic mean.png  and N with n - 1. The modified formula is

s

= 877_sample standard deviation.png

where,

          s       =    Sample standard deviation

           2390_arithmetic mean.png      =    Sample mean

We use n - 1 as the denominator because unless n - 1 is used, the average of the sample variances of all possible samples (which are obtained by squaring standard deviations) will not be equal to the variance of the population from which the samples have been taken.

Posted Date: 9/14/2012 3:19:16 AM | Location : United States







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

Write discussion on Sample standard deviation
Your posts are moderated
Related Questions
Explain the characteristics of business forecasting.

First we look at these charts assuming that we know both the mean and the standard deviation of the process, that is  μ and  σ . These values represent the acceptable values (bench

In the context of multivariate data analysis, one might be faced with a large number of v&iables that are correlated with each other, eventually acting as proxy of each other. This

Flow Chart for Confidence Interval We can now prepare a flow chart for estimating a confidence interval for μ, the population parameter. Figure

Disadvantages For calculating median it is necessary to arrange the data; other averages do not need any arrangement. Since it is a positional average, its value is not d

The regression line should be drawn on the scatter diagram in such a way that when the squared values of the vertical distance from each plotted point to the line are added, the to

The incidence of occupational disease in an industry is such that the workers have a 20% chance of suffering from it. What is the probability that out of six workers 4 or more will

Random Sampling Method In this method the units are selected in such a way that every item in the whole universe has an equal chance of being included. In the words of croxton

Muti linear regression model problem An investigator is studying the relationship between weight (in pounds) and height (in inches) using data from a sample of 126 high school

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