Example_of_a_StandardDeviation

# Example_of_a_StandardDeviation - Using Excel to Calculate...

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Using Excel to Calculate the Mean and Sample Standard Deviation (Method A): Data Table Using data in guided example 3 on page 87 of the text Step 1) Place your data in the first column of the table. This is labeled 'x'. x x -xbar (x - xbar)^2 5 5 5 6 7 8 Step 2) Find the sum of the 'x' column This can be done using a calculator or the "=sum( )" function x x -xbar (x - xbar)^2 5 5 5 6 7 8 Sum 36 Step 3) Calculate the sample mean (xbar) xbar = ∑x / n ∑x = 36 n = number of data = 6 xbar = 6 Step 4) Calculate the value of the column 'x - xbar' x x -xbar (x - xbar)^2 5 -1 5 -1 5 -1 6 0 7 1 8 2 Sum 36 Step 5) Calculate the value of the column '(x - xbar)^2' x x -xbar (x - xbar)^2 5 -1 1 5 -1 1 5 -1 1 6 0 0

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7 1 1 8 2 4 Sum 36 Step 6) Find the sum of the '(x - xbar)^2' column x x -xbar (x - xbar)^2 5 -1 1 5 -1 1 5 -1 1 6 0 0 7 1 1 8 2 4 Sum 36 8 Step 7) Calculate the sample standard deviation s = SQRT( [∑(x - xbar)^2] / (n-1) ) SQRT = square root ∑(x - xbar)^2 = SSx = 8 n = 6 s = SQRT( 8 / (6 -1 ) ) = SQRT( 8/5) s = 1.265 Step 8) Answer xbar = 6 s = 1.26
Using Excel to Calculate the Mean and Sample Standard Deviation (Method B):

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