Find the standard deviation for each data set. Use the standard deviations to compare the pair of data sets.
Fastest recorded speeds of various large wild cats (miles per hour):
65 50 35 45 40 30 30 40 20
Fastest recorded speeds of various birds in flight (miles per hour):
218 106 92 56 63 38 55 32 52 25 25 30
The standard deviation of the large wild cats is σ =
(Round the final answer to the nearest hundredth as needed. Round all intermediate values to the nearest hundredth as needed.)
The standard deviation of the birds in flight is σ =
(Round the final answer to the nearest hundredth as needed. Round all intermediate values to the nearest hundredth as needed.)
The standard deviation for the data set of fastest recorded speeds of large wild cats is approximately 12.08.
The standard deviation for the data set of fastest recorded speeds of birds in flight is approximately 54.16.
Comparing the two standard deviations, we can see that the data set of fastest recorded speeds of birds in flight has a much higher standard deviation compared to the data set of large wild cats, indicating that there is more variability in the speeds of birds in flight compared to wild cats.