The standard deviation for the set of population data given in the question is 6.9
How to determine the mean
- Data = 14, 23, 31, 29, 33
- Number of data (n) = 5
- Summation of data = 14 + 23 + 31 + 29 + 33 = 130
- Mean (μ) =?
Mean = summation of data / number
μ = 130 / 5
μ = 26
How to determine the standard deviation
- Data = 14, 23, 31, 29, 33
- Mean (μ) = 26
- Number of data (n) = 5
- Standard deviation (σ) =?
σ = √[[(x₁ - μ)² + (x₂ - μ)² + (x₃ - μ)² + (x₄ - μ)² + (x₅ - μ)²] / n]
σ = √[[(14 - 26)² + (23 - 26)² + (31 - 26)² + (29 - 26)² + (33 - 26)²] / 5]
σ = √[236 / 5}
σ = 6.9
Learn more about statistics:
https://brainly.com/question/8974461
#SPJ9