### 10.2 The Olympics

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• 21. Making a Bar Graph for the Super Combined

In the super combined, skiers compete in two events. The finishing times for the events are added together to determine the skier with the fastest combined time. The graphs show the finishing times for both events for the skiers with the top 6 combined times in 2010.

Find the combined time for each skier and make a bar graph showing the combined times from least to greatest. Who won the gold medal? the silver medal? the bronze medal?

• Worked-Out Solution

Using a spreadsheet, you can find the combined time for each skier and make a bar graph showing the combined times from least to greatest.

From the graph, you can see that Bode Miller won the gold medal, Ivica KosteliÄ‡ won the silver medal, and Silvan Zurbriggen won the bronze medal.

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```  _  _    _    _    __   __     ___      _  __
| \| || | || | ||  \ \\/ //   / _ \\   | |/ //
|  ' || | || | ||   \   //   | / \ ||  | ' //
| .  || | \\_/ ||   / . \\   | \_/ ||  | . \\
|_|\_||  \____//   /_//\_\\   \___//   |_|\_\\
`-` -`    `---`    `-`  --`   `---`    `-` --`

```
• 22. Men's Super Combined Gold Medalist

In the super combined, skiers compete in two events. The finishing times for the events are added together to determine the skier with the fastest combined time. The graphs show the finishing times for both events for the skiers with the top 6 combined times in 2010.

Determine how many seconds the gold medalist finished ahead of each of the other skiers in the top six. Then graphically represent the information.

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``` _    _     ______    _  __   _    _     ______
| |  | ||  /_   _//  | |/ // | || | ||  /_   _//
| |/\| ||   -| ||-   | ' //  | || | ||  `-| |,-
|  /\  ||   _| ||_   | . \\  | \\_/ ||    | ||
|_// \_||  /_____//  |_|\_\\  \____//     |_||
`-`   `-`  `-----`   `-` --`   `---`      `-`'

```
• 23. Aksel Lund Svindal in the 2010 Super Combined

In the super combined, skiers compete in two events. The finishing times for the events are added together to determine the skier with the fastest combined time. The graphs show the finishing times for both events for the skiers with the top 6 combined times in 2010.

Aksel Lund Svindal had the fastest finishing time in the downhill portion at 113.15 seconds, but he skied off course in the slalom and did not finish that portion. What finishing time in the slalom would have won him the gold medal? Compare this time to the finishing times in the slalom graph.

• Worked-Out Solution

Bode Miller had the fastest combined time in the super combined at 164.92 seconds. To win the gold medal, Aksel Lund Svindal needed to tie with Bode or finish with a faster time. To find the finishing time in the slalom that would have won Svindal a gold medal, subtract his finishing time in the downhill portion from Miller's combined time.

So, Svindal needed a time of 51.77 seconds to tie for the gold medal and a time of 51.76 seconds or less to win the gold medal and not share it. A score near the 51.76-second mark falls between the slalom times for the fifth and sixth top overall finishers.

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```  _  __    _____    __   _      ___       _____
| |/ //  |  ___|| | || | ||   / _ \\    / ___//
| ' //   | ||__   | '--' ||  | / \ ||   \___ \\
| . \\   | ||__   | .--. ||  | \_/ ||   /    //
|_|\_\\  |_____|| |_|| |_||   \___//   /____//
`-` --`  `-----`  `-`  `-`    `---`   `-----`

```
• 24. Women's Super Combined Medalists

The table shows the finishing times for the 2 events in the women's super combined for the skiers with the top 6 combined times in 2010. Find the combined time for each skier and make a bar graph showing the combined times from least to greatest. Who won the gold medal? the silver medal? the bronze medal?

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``` _____       ___       _____    ______    ______
|  __ \\    / _ \\    / ___//  /_   _//  /_____//
| |  \ ||  | / \ ||   \___ \\   -| ||-   `____ `
| |__/ ||  | \_/ ||   /    //   _| ||_   /___//
|_____//    \___//   /____//   /_____//  `__ `
-----`     `---`   `-----`    `-----`   /_//
`-`
```
• 25. Differences in Finishing Times in 2010 Women's Super Combined

The table shows the finishing times for the 2 events in the women's super combined for the skiers with the top 6 combined times in 2010. Determine how many seconds the gold medalist finished ahead of each of the other skiers in the top six. Then graphically represent the information.

• Worked-Out Solution

Using a spreadsheet, you can determine how many seconds the gold medalist finished ahead of each of the other skiers in the top six.

The stacked bar graph shows the closeness of the top six times.

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```  ____     _    _    _    _     _____     ______
|  _ \\  | || | || | |  | ||  |  ___||  /_   _//
| |_| || | || | || | |/\| ||  | ||__      | ||
| .  //  | \\_/ || |  /\  ||  | ||__     _| ||
|_|\_\\   \____//  |_// \_||  |_____||  /__//
`-` --`    `---`   `-`   `-`  `-----`   `--`

```
• 26. Lindsey Vonn in the 2010 Women's Super Combined

The table shows the finishing times for the 2 events in the women's super combined for the skiers with the top 6 combined times in 2010.

Lindsey Vonn had the fastest finishing time in the downhill portion at 84.16 seconds, but she missed a gate and fell in the slalom and did not finish that portion. What finishing time in the slalom would have won her the gold medal? Compare this time to the slalom finishing times for the top six overall finishers.

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```  _____     _____    __   __   __   __   _    _