Answer:
Standard deviation = 0.039 mm
Step-by-step explanation:
The standard deviation is the square root of variance. And variance is an average of the squared deviations from the mean.
Mathematically,
Standard deviation = σ = √[Σ(x - xbar)²/N]
x = each variable
xbar = mean
N = number of variables = 6
We first calculate the mean
xbar = (Σx)/N
xbar = (2.88+2.91+2.97+2.97+2.92+2.87)/6
xbar = (17.52/6) = 2.92 mm
Σ(x - xbar)² = [(2.88 - 2.92) + (2.91 - 2.92)² + (2.97 - 2.92)² + (2.97 - 2.92)² + (2.92 - 2.92)² + (2.87 - 2.92)²] = 0.0092
σ = √[Σ(x - xbar)²/N] = √(0.0092/6) = √0.0015333
σ = 0.039 mm
