How do you calculate the standard deviation of 3.4, 6.1, 7.3, 4.5, 2.3, 4.4, 9.4, 3.4, 2.3, 7.2?

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zesponderyd · Accepted Answer

Explanation:  Data:   {3.4,6.1,7.3,4.5,2.3,4.4,9.4,3.4,2.3,7.2}=50.3  Mean: 50.310=5.03  Variance is average of the squared differences from the Mean.  Variance : σ2=110⋅((3.4−5.03)2+(6.1−5.03)2+(7.3−5.03)2  +(4.5−5.03)2+(2.3−5.03)2+(4.4−5.03)2+(9.4−5.03)2  +(3.4−5.03)2+(2.3−5.03)2+(7.2−5.03)2)=110⋅51.001=5.1001  Standard Deviation is the square root of Variance,  Standard deviation : σ=5.1001=2.25834≈2.26(2dp)

How do you calculate the standard deviation of 3.4, 6.1, 7.3, 4.5, 2.3, 4.4, 9.4,...

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