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The following times were recorded by the quarter-mile and mile runners of a university track team (times are in minutes).
Quarter-Mile times 0.91 0.99 1.03 0.91 0.98Mile times 4.42 4.25 4.50 4.80 4.60
After viewing this sample of running times, one of the coaches commented that the quarter-milers turned in the more consistent times. Use the standard deviation and the coefficient of variation to summarize the variability in the data.
Compute the sample standard deviation (in min) for quarter-mile runners and one-mile runners. (Round your answers to four decimal places.)
quarter-mile runners min
one-mile runners min
Compute the coefficient of variation for quarter-mile runners and one-mile runners. (Round your answers to one decimal place.)
quarter-mile runners %
one-mile runners %
Does the use of the coefficient of variation indicate that the coach's statement should be qualified?
Comparing the coefficient of variations show that the coach's statement ---Select--- qualified because it shows that the quarter-milers' times are ---Select--- more equally less variable.
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