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### Chapter 10 Review Exercises

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• 7. Describing Patterns in Men's Olympic Hammer Throw

Describe any patterns in the graph.

• Worked-Out Solution

The winning distances increased dramatically between 1948 and 1980. Then the winning distances leveled off between 80 and 85 meters in most of the Olympics after 1980.

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``` _____      ______             __   __   _    _
|  __ \\   /_   _//   ____     \ \\/ // | \  / ||
| |  \ ||   -| ||-   |    \\    \ ` //  |  \/  ||
| |__/ ||   _| ||_   | [] ||     | ||   | .  . ||
|_____//   /_____//  |  __//     |_||   |_|\/|_||
-----`    `-----`   |_|`-`      `-`'   `-`  `-`
`-`
```
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• 8. Olympic Records for Men's Hammer Throw

What percent of the winning distances were Olympic records?

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

```
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• 9. Olympic Record for Men's Hammer Throw

What is the Olympic record for men's hammer throw?

• Worked-Out Solution

The Olympic record is the highest point in the graph. From the graph you can see that the Olympic record is about 85 meters. (The actual value is 84.8 meters.)

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``` _____       ___      _____     _____
|  __ \\    / _ \\   / ____||  |  ___||     ___
| |  \ ||  | / \ || / //---`'  | ||__      /   ||
| |__/ ||  | \_/ || \ \\___    | ||__     | [] ||
|_____//    \___//   \_____||  |_____||    \__ ||
-----`     `---`     `----`   `-----`      -|_||
`-`
```
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• 10. Estimating the 1940 Winning Distance

What do you think the winning distance would have been in 1940 if the Olympics had been held? Explain your reasoning.

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

```
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• 11. Olympic Record for Men's Hammer Throw

Sketch a graph that shows the Olympic record for each year in the data set.

• Worked-Out Solution

To find the Olympic record for an Olympics, find the greatest winning distance in all of the Olympics up to and including that Olympics. Using this method and a spreadsheet, you can graph the Olympic record for each year in the data set.

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

```
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• 12. Men's Hammer Throw Distances

Graphically represent the top 8 distances (shown in meters) for the final round of the 2008 Olympic men's hammer throw.

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

```
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• 13. Calculating a Diver's Score in the Olympics

Find the diver's score.

Degree of difficulty: 2.2

Judges' scores:

• Worked-Out Solution

Of the 7 scores, discard 7.0, 7.5, 8.5, and 9.0.

Add the remaining scores and multiply by the degree of difficulty.

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

```
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• 14. Calculating a Ski Jumper's Score

Find the score for a ski jumper with the following style points and distance. Assume the K-point is at 120 meters.

Style Points: 16.0, 16.5, 19.0, 17.5, 18.0

Distance: 128 meters

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``` ______      ___               __   __    _  __
|      \\   / _ \\      ___    \ \\/ //  | |/ //
|  --  //  / //\ \\    /   ||   \ ` //   | ' //
|  --  \\ |  ___  ||  | [] ||    | ||    | . \\
|______// |_||  |_||   \__ ||    |_||    |_|\_\\
`------`  `-`   `-`     -|_||    `-`'    `-` --`
`-`
```
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