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what is standard deviation and what is its formula?
Standard Deviation - considered as special form of measures of dispersion that involves all the individual scores/values of the items in the distribution rather than through extremes scores. formula: Standard Deviation for Ungrouped Data: standard deviation= summation of the square of the difference bet. individual scores and the mean divided by the total number of scores minus 1. mathematically: S=√∑(x-mean)^2 √n-1 where: x= individual score n=total # of scores
For Grouped Data: standard deviation= summation of the product of the frequency and square of the difference bet. individual scores and the mean divided by the total number of scores minus 1. Mathematically: S=√∑f(x-mean)^2 √n-1 where: x= individual score n=total # of scores f=frequency of the table
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