The problem is: A cyclist won a bicycle race for seven consecutive years. His "winning" times and "victory" margins (time difference of the second-place finisher) are given in the figure below. Year Time (h:m:s) Margin (m:s) 1999 91:32:12 7:33 2000 92:33:05 6:02 2001 86:17:25 6:44 2002 82:05:17 7:16 2003 83:41:17 1:07 2004 83:36:02 6:11 2005 86:15:02 4:40how do I find the standard deviation of the cyclist's times? and of the cyclist's margins?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
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Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
The problem is: A cyclist won a bicycle race for seven consecutive years. His "winning" times and "victory" margins (time difference of the second-place finisher) are given in the figure below.
| Year | Time (h:m:s) |
Margin (m:s) |
|---|---|---|
| 1999 | 91:32:12 | 7:33 |
| 2000 | 92:33:05 | 6:02 |
| 2001 | 86:17:25 | 6:44 |
| 2002 | 82:05:17 | 7:16 |
| 2003 | 83:41:17 | 1:07 |
| 2004 | 83:36:02 | 6:11 |
| 2005 | 86:15:02 | 4:40 |
Based on the provided information, convert all the values in the table into seconds.
For Time, (Hours*3600)+(Minutes*60)+Seconds.
For margin, (Minutes*60)+Seconds
| Year | Time | Margin |
| 1999 | 329532 | 453 |
| 2000 | 333185 | 362 |
| 2001 | 310645 | 404 |
| 2002 | 295517 | 436 |
| 2003 | 301277 | 67 |
| 2004 | 300962 | 371 |
| 2005 | 310502 | 280 |
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