# Population Standard Deviation Help Essay

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Introduction for population standard deviation help: In this article we will discuss about population standard deviation. In probability theory and statistics, the standard deviation of a statistical population, a data group, or a chance distribution is the square root of its inconsistency. Standard deviation is a generally used calculate of the unpredictability or dispersion, being algebraically more tractable though basically less robust than the probable deviation or average absolute deviation. The following formula used to calculate population standard deviation. S = sqrt ((sum(X –M)^2)/N) M – Mean of given values. N – Total number of…show more content…
(iii) Apply values in population standard deviation formula: S = sqrt ((sum(X –M)^2)/N) = sqrt (154)/sqrt (5) = 12.409/2.236 = 5.5496 The answer is: 5.5496 Population standard deviation help- Example 2 Find the population standard deviation of values 77, 76, 66, 69. Solution: (i) Find the mean and deviation for the given values. X = 77, 76, 66, 69. M = (77 + 76 + 66 + 69)/4 = 288/4 = 72 (ii) Then we can find the sum of (X - M) 2 X X-M (X-M)2 77 77-72 = 5 25 76 76-72 = 4 16 66 66-72 = -6 36 69 69-72 = -3 9 Total 86 N = 4 is the total number of given values. (iii) Apply values in standard deviation formula: S = sqrt((sum(X –M)^2) /N) = sqrt(86)/ sqrt(4) = 9.273/2 = 4.6365 The answer is: 4.6365 Population standard deviation help– Example 3 Find the population standard deviation of following values 87, 95, 94, 91, and 93. Solution: (i) Determine the mean and standard deviation for the specified values. X = 87, 95, 94, 91, and 93 Mean (M) = (87+ 95 + 94 + 91 + 93) / 5 = 460/5 = 92 (ii) Then we can