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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.
- Data Analysis, Statistics, and Probability / Statistical Measures
- TSI Math / Data Analysis, Statistics, and Probability
- Test Prep / TSI
- TSI Mathematics / Data Analysis, Statistics, and Probability
- TSI / TSI Math
- Data Analysis, Statistics, and Probability / Statistical Measures
- TSI / TSI Mathematics
- Test Prep / TSI
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
Full Transcript
- 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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