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TSI Math: Finding a Z-Score Using the Standard Deviation and Mean 8 Views


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Description:

Find the z-score of the value 1000, given a mean of 1002.65 and a standard deviation of 4.98.


Transcript

00:03

Okay sy mash bumpers I've got another z score Think

00:06

before you find a z score of the value of

00:09

a thousand given a mean of a thousand two point

00:11

six five in a standard deviation of four point nine

00:14

eight Okay we're getting all zied up and that's a

00:20

pretty simple process is long as we have a mean

00:22

a standard deviation and a value to compare to the

00:25

mean what what we're doing when we find a z

00:28

scores finding how far our given value is from the

00:32

mean in units of standard deviation If our value of

00:36

interest is larger than the mean we'll get a positive

00:39

z score if it's less than the main r z

00:41

score will be negative right If our value is equal

00:44

to the meanwhile then z is just zero r value

00:47

of interest here is a thousand while our mean is

00:49

a thousand to sixty five r z score will be

00:52

negative so we've got to see its x minus mean

00:56

there over the sigma that the thousand minus thousand two

00:59

point six five or forty eight got negative two point

01:01

six five over four point nine eight so that gives

01:04

a z score about negative point five three two and

01:06

that means our value is about half a standard deviation

01:09

less than the mean so that's it really answers being 00:01:13.254 --> [endTime] were z shmoop

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