Find the standard deviation for observations 1, 2, 3, 4, 5.

1.	Find the standard deviation for observations 1, 2, 3, 4, 5.
Answer» Here, n = 5 x: 1, 2, 3, 4, 5 (x – x̄): – 2, -1, 0,1, 2 ∴Σ(x – x̄) = 0 (x – x̄)²: 4, 1, 0, 1, 4 ∴Σ (x – x̄)2 = 10 Standard deviation: s = \(\sqrt\frac{Σ(x−x¯)^2}{n}=\sqrt\frac{10}{5}=\sqrt{2}\)= 1.41

Answer»

Here, n = 5
x: 1, 2, 3, 4, 5

(x – x̄): – 2, -1, 0,1, 2 ∴Σ(x – x̄) = 0
(x – x̄)²: 4, 1, 0, 1, 4 ∴Σ (x – x̄)2 = 10
Standard deviation:
s = \(\sqrt\frac{Σ(x−x¯)^2}{n}=\sqrt\frac{10}{5}=\sqrt{2}\)= 1.41

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Find the standard deviation for observations 1, 2, 3, 4, 5.

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