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?

Respuesta :

Answer: 2.66 standard deviations above the mean

Explanation:

The z score directly determines how far we are from the mean. For positive z values, we are above the mean, while negative z values are below the mean.

The mean itself is z = 0

The absolute value of the z score is the distance from the score to 0. So having a z score of z = 2.66 means we are 2.66 standard deviations above the mean. Something like z = -2 means we are 2 standard deviations below the mean.