The standard deviation is a measure of spread which depicts how much a distribution deviates from the mean or average value of the distribution. The standard deviation of the sample is 4.28
The sample :
Mean, μ = ΣX/ n ; n = sample size
Mean = (4 + 7 + 9 + 12 + 15) / 5
Mean = 47/5
Mean = 9.4
The standard deviation = √[Σ(X - μ)² / (n - 1)]
Standard deviation = √[(4-9.4)² + (7-9.4)² + (9-9.4)² + (12-9.4)² + (15-9.4)²] / (5 - 1)
Standard deviation = √(73.2 / 4) = √18.3
The standard deviation = 4.28
Therefore, the standard deviation of the sample is 4.28
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