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Question

Find the standard deviation of the simple dataset: 3,5,7,93, 5, 7, 9

Verified Answer

5\sqrt{5} (or ≈2.24\approx 2.24)

Explanation & Step-by-Step Solving

Solving: Mean =244=6= \frac{24}{4} = 6. Squares of deviations from mean: (3−6)2=9(3-6)^2=9, (5−6)2=1(5-6)^2=1, (7−6)2=1(7-6)^2=1, (9−6)2=9(9-6)^2=9. Variance =9+1+1+94=204=5= \frac{9+1+1+9}{4} = \frac{20}{4} = 5. Standard Deviation =Variance=5= \sqrt{\text{Variance}} = \sqrt{5}.

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