Find the standard deviation of a population data set of plant heights.

Check the final answer first, then review the worked steps.

Problem

Find the standard deviation of a population data set of plant heights.

Answer

3.9

Step-by-step solution

Calculate the mean, then the variance, and finally the population standard deviation. Mean = (16+23+12+19+14)/5 = 17.2. Variance = [(16-17.2)^2 + (23-17.2)^2 + (12-17.2)^2 + (19-17.2)^2 + (14-17.2)^2]/5 = 15.36. Standard Deviation = sqrt(15.36) ≈ 3.92.