A successful basketball player has a height of 6 feet 3 inches or 191cm. Based on his statistics from a data set, his height converts to the z score of 2.31. How many standard deviations is his height above the mean? (round 2 decimal points as needed)

Respuesta :

A z-score of 2.31 means his height is 2.31 standard deviations above the mean.

The height is above the mean by 2.31 standard deviations.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation\\\\\\Given\ that\ x=191,z=2.31.Hence:\\\\2.31=\frac{191-\mu}{\sigma} \\\\191-\mu=2.31\sigma[/tex]

The height is above the mean by 2.31 standard deviations.

Find out more on z score at: https://brainly.com/question/15016913