Lance Armstrong won the Tour de France seven consecutive years (1999-2005). The following table gives the winning times, distances, speeds, and margin of victory. (a)
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(a) Determine the mean and median of his winning times for the seven races.
(b) Determine the mean and median of the distances for the seven races.
(c) Determine the mean and median of his winning margin.
(d) Determine the mean winning speed by finding the mean of the data values in the table.
Next, compute the mean winning speed by finding the total of the seven distances and dividing by the total of the seven winning times. Finally, compute the mean winning speed by dividing the mean distance by the mean winning time. Do the three values agree or are there differences?
Year Winning Distance Winning Winning Time (h) (km) 1999 91.538 2000 92.552 3662 2001 86.291 2002 82.087 3278 2003 83.687 3427 2004 83.601 2005 86.251 Speed (km/h) 40.28 39.56 40.02 39.93 40.94 40.56 41.65 Margin (min) 7.617 6.033 6.733 7.283 1.017 6.317 4.667 3687 3453 3391 3593
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