Question

a successful basketball player has a height of 6 feet 2 inches, or 188 cm. based on statistics from a data set, his height converts to the z score of 1.95. how many standard deviations is his height above the mean? the players height is standard deviation(s) above the mean. (round to two decimal places as needed.)

Explanation:

Step1: Recall the definition of z - score

The z - score formula is \(z=\frac{x-\mu}{\sigma}\), where \(x\) is the data value, \(\mu\) is the mean, and \(\sigma\) is the standard deviation.

Step2: Interpret the z - score value

The z - score represents the number of standard deviations a data value \(x\) is from the mean \(\mu\). If \(z>0\), the data value is above the mean. If \(z < 0\), the data value is below the mean.

Given that \(z = 1.95\)

Answer:

The player's height is \(1.95\) standard deviation(s) above the mean.