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The following times were recorded by the quarter mile and mile runners of a university...

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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 milers Standard deviation to 4 decimals Coefficient of variation to 1 decimal Quarter Mile Times Milers Mile Times 0 92 0 99 4 35 4 59 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 4 52 1 06 0 96 1 00 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

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