Questions: A successful basketball player has a height of 6 feet 4 inches, or 193 cm. Based on statistics from a data set, his height converts to the z score of 2.66. How many standard deviations is his height above the mean? The player's height is standard deviation(s) above the mean. (Round to two decimal places as needed.)

A successful basketball player has a height of 6 feet 4 inches, or 193 cm. Based on statistics from a data set, his height converts to the z score of 2.66. How many standard deviations is his height above the mean? The player's height is standard deviation(s) above the mean. (Round to two decimal places as needed.)
Transcript text: A successful basketball player has a height of 6 feet 4 inches, or 193 cm . Based on statistics from a data set, his height converts to the z score of 2.66 . How many standard deviations is his height above the mean? The player's height is $\square$ standard deviation(s) above the mean. (Round to two decimal places as needed.)
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Solution

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Solution Steps

Step 1: Given Information

The height of the successful basketball player is \( 193 \, \text{cm} \). The z-score corresponding to this height is given as \( z = 2.66 \).

Step 2: Understanding the Z-Score

The z-score indicates how many standard deviations a value is from the mean. In this case, the z-score of \( 2.66 \) means that the player's height is \( 2.66 \) standard deviations above the mean height of the population.

Step 3: Conclusion

Thus, the player's height is \( 2.66 \) standard deviation(s) above the mean.

Final Answer

\(\boxed{2.66}\)

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