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


= 877_sample standard deviation.png


          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

Replacement times for TV sets are normally distributed with a mean of 8.2 years and a standard deviation of 1.1 years. Find the replacement time that separates the top 20% from the

Do people of different age groups differ in their response to e-mail messages? A survey by the Cent of the Digital Future of the University of Southern California reported that 70.

Primary and Secondary Data: Primary Data: These data are those are collected for the first time. Thus primary data are original in character and gathered   by actual observat

Examples of grouped, simple and frequency distribution data

Multi stage or Cluster Random sampling  Under this method, the random selection is made of primary, intermediate and final units from a given population. The area of investigat

Importance and Application of probability: Importance of probability theory  is in all those areas where event are not  certain to take place as same  as starting with games of

Multivariate analysis involves a set of techniques to analyse data sets on more than one variable. Many of these techniques are modern and often involve quite sophisticated use of

Significance of Correlation The study of correlation is of immense use in practical life. Correlation analysis contributes to the understanding of economic behavior, aids in lo

Main stages of Statistical Inquiry The following are the various stages of a statistical inquiry (1)   Planning the Inquiry: First of all we have to assess the problem und