Answer Happy

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 0.96 1.03 0.95 1.02 Mile Times: 4.52 4.35 4.61 4.70 4.51 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. Quarter-milers Standard deviation (to 4 decimals) Coefficient of variation (to 1 decimal) % Milers Standard deviation (to 4 decimals) Coefficient of variation (to 1 decimal) Does the use of the coefficient of variation indicate that the coach s statement should be qualified? (i) Yes; the coefficient shows that as a percentage of the mean, the quarter-milers times show less variability (ii) No: the coefficient shows that as a percentage of the mean the quarter-milers times show more variability Choose the correct answer! - Select your answer M द &