# Shaun White won the gold medal with a score of 46.80, what is the corresponding z-score?

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In honor of the Winter Olympics beginning this week, let’s consider scores of athletes in the Men’s Half Pipe Snowboarding Final in Vancouver in 2010. Scores had a mean of 33.87 and a standard deviation of 9.19. For this exercise let’s consider the men in the finals competition to be the population of interest.

Gregory Bretz scored 18.30 in the competition, what is the corresponding z-score?

The 9th place finisher scored a z-score of -0.3667, what is the corresponding raw score?

The bronze medalist had a z-score of 0.9717, what is the corresponding raw score?

In honor of the Winter Olympics beginning this week, let’s consider scores of athletes in the Men’s Half Pipe Snowboarding Final in Vancouver in 2010. Scores had a mean of 33.87 and a standard deviation of 9.19. For this exercise let’s consider the men in the finals competition to be the population of interest.

Gregory Bretz scored 18.30 in the competition, what is the corresponding z-score?

The 9th place finisher scored a z-score of -0.3667, what is the corresponding raw score?

The bronze medalist had a z-score of 0.9717, what is the corresponding raw score?

##### 1 Answer

Shaun White z-score

Gregory Betz z-score

9th place raw score

Bronze raw score

#### Explanation:

The z-score is the amount of standard deviations an element, which means the absolute value of

where

Therefor, we plug these values into the equation to get

For the next two questions, we no longer know the value of the raw score

http://stattrek.com/statistics/dictionary.aspx?definition=z%20score

Thanks for reading, I hope that helped!