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9 votes
Find Standard DeviationStandard Deviation:_______

User Austen Stone
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1 Answer

18 votes
18 votes

Let's begin by listing out the information given to us:

11, 16, 11, 15, 9, 10, 11, 13, 15, 17, 10, 14, 17, 10, 13, 15, 11, 12, 12, 12, 11, 12, 14, 15, 15, 13, 10, 15, 12, 11

N = 30

Mean = (11 + 16 + 11 + 15 + 9 + 10 + 11 + 13 + 15 + 17 + 10 + 14 + 17 + 10 + 13 + 15 + 11 + 12 + 12 + 12 + 11 + 12 + 14 + 15 + 15 + 13 + 10 + 15 + 12 + 11) / 30

Mean = 382/30 = 12.7333

Using the standard deviation formula, we have:

σ² = Σ(xi - μ)² ÷ N

σ² = 145.86666666667 ÷ 30

σ² = 4.8622222222222

σ = 2.2050447211388 ≈ 2.21

σ = 2.21

The standard deviation is 2.21

User Simon Mayrshofer
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