Problem

Given a dataset of {3, 5, 2, 8, 9}, calculate the standard deviation.

Answer

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Answer

Step 4: Take the square root of the mean of these squared differences. \ 7.44

Steps

Step 1 ：Step 1: Calculate the mean (average) of the dataset. \ 3+5+2+8+95=275=5.4

Step 2 ：Step 2: Subtract the mean from each data point and square the result. \ (3−5.4)2=5.76(5−5.4)2=0.16(2−5.4)2=11.56(8−5.4)2=6.76(9−5.4)2=12.96

Step 3 ：Step 3: Calculate the mean of these squared differences. \ 5.76+0.16+11.56+6.76+12.965=37.25=7.44

Step 4 ：Step 4: Take the square root of the mean of these squared differences. \ 7.44

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