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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


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

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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