How to get the percent of scores in one and two standard deviations of the mean

Expert Solution

For finding the percent of scores in one and two standard deviations of the mean, follow the following procedure:

(a) For finding the percent of scores in one standard deviation of the mean, first of all find the two values such as (Mean – 1*SD) and (Mean + 1*SD). Then count all numbers lies within these two values. Then simply find out the percent of required scores in one standard deviation of the mean as below:

Required percentage = [Number lies within two values / Total number of scores ] * 100

You will get required percentage.

Suppose, you find 15 scores lies within (Mean – 1*SD) and (Mean + 1*SD) and total scores are 25.

Then required percentage = (15/25)*100 = 60%

(b) For finding the percent of scores in two standard deviations of the mean, first of all find the two values such as (Mean – 2*SD) and (Mean + 2*SD). Then count all numbers lies within these two values. Then simply find out the percent of required scores in two standard deviations of the mean as below:

Required percentage = [Number lies within two values / Total number of scores ] * 100

You will get required percentage.

Suppose, you find 20 scores lies within (Mean – 2*SD) and (Mean + 2*SD) and total scores are 25.

Then required percentage = (20/25)*100 = 80%

orchestra answered 1 year ago

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