standard deviation of a population data set of bike ride lengths
Check the final answer first, then review the worked steps.
Problem
standard deviation of a population data set of bike ride lengths
Answer
2.8
Step-by-step solution
Calculate the mean, then the variance, and finally the population standard deviation. Mean = (7+4+11+9+3+8)/6 = 42/6 = 7. Variance = [(7-7)^2 + (4-7)^2 + (11-7)^2 + (9-7)^2 + (3-7)^2 + (8-7)^2]/6 = [0 + 9 + 16 + 4 + 16 + 1]/6 = 46/6 = 7.666... Standard Deviation = sqrt(7.666...) = 2.768... Rounded to the nearest tenth, it is 2.8.