Answer :
As per given data the standard deviation of the UCSB students' height is 10 centimeters.
To calculate the standard deviation of the height of UCSB students, we need to use the formula:
[tex]\sigma = \sqrt{(E(\alpha^2) - [E(\alpha)]^2)}[/tex]
where σ represents the standard deviation, E(α) is the expected value (mean) of the random variable α, and E(α²) is the expected value of the squared random variable α.
Given that E(α) = 170 and E(α²) = 29000, we can substitute these values into the formula:
[tex]\sigma = \sqrt{(29000 - 170^2)}[/tex]
[tex]\sigma= \sqrt{(100)}[/tex]
[tex]\sigma = 10[/tex]
Therefore, the standard deviation of the UCSB students' height is 10 centimeters.
Learn more about standard deviation here:
https://brainly.com/question/13498201
#SPJ11
