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Interpreting Categorical and Quantitive Data Videos 17 videos
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TSI Math: Working with the Standard Deviation Formula 18 Views
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Description:
Using the formula for standard deviation
, find s for the following set of data:
0, 8, 9, 13, 14
- Data Analysis, Statistics, and Probability / Interpreting Categorical and Quantitative Data
- Data Analysis, Statistics, and Probability / Interpreting Categorical and Quantitative Data
- TSI Math / Data Analysis, Statistics, and Probability
- Test Prep / TSI
- TSI Mathematics / Data Analysis, Statistics, and Probability
- TSI / TSI Math
- TSI / TSI Mathematics
- Test Prep / TSI
Transcript
- 00:02
All right see math Shmoop er's We've got some standard
- 00:05
deviants for you using the formula for standard deviation What
- 00:09
is this find asked for the following set of data
- 00:17
Okay big breath We're being asked to turn the crank
- 00:20
by hand on the standard deviation machine What goes on
Full Transcript
- 00:24
inside that machine between when we dumped the numbers in
- 00:27
and we get the result after turning the crank a
- 00:30
few times Well the machine looks something like this and
- 00:33
let's Take off the side pale and put our mitts
- 00:37
on and peek inside at the guts of the machine
- 00:40
All the goopy stuff way start off by finding the
- 00:43
mean that's His acts with the line over it will
- 00:46
some the values and divide by five So how do
- 00:49
we do that We got zero eight nine thirteen fourteen
- 00:51
We divide by five Forty for over five That's eight
- 00:54
point eight Well now we need to take each data
- 00:56
point Subtract the mean from them So that's the x
- 00:59
by minus the x mean part And that gets us
- 01:02
this table where we go from negative eight point eight
- 01:05
and the negative point eight and then point to and
- 01:07
on and on and on Okay And now we need
- 01:09
to square those results So that's the ex sabai minus
- 01:13
the actual apart and we get well negative eight point
- 01:16
Eight and they were just squaring this thing Seventy seven
- 01:18
point four and then zero point six Foreign point No
- 01:21
foreign seventeen twenty seven Now we some those values that's
- 01:25
the sigma part So we got seventy seven point four
- 01:28
four and then point six four point oh four seventeen
- 01:31
hundred all gets one twenty two point eight in total
- 01:34
all right time to divide the in minus one thing
- 01:36
into it which is well five minus one because that's
- 01:40
what the end value is or four so that's one
- 01:42
twenty two point eight divided by four that's about thirty
- 01:45
point seven All we have left now is a swift
- 01:48
square rooting toe pull out finally the last part of
- 01:51
it So what's the square root of thirty point seven
- 01:53
in texas that's about five point five four so our
- 01:56
signal or standard deviation is about five point five four
- 02:00
that's it The answer is c we are fully shmoop 00:02:03.53 --> [endTime] it on this one
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