# TSI Math: Working with the Standard Deviation Formula

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 |

Mathematics and Statistics Assessment | Interpreting Categorical and Quantitive Data |

Product Type | TSI |

TSI | Mathematics and Statistics Assessment TSI Math TSI Mathematics |

TSI Math | Data Analysis, Statistics, and Probability |

TSI Mathematics | Data Analysis, Statistics, and Probability |

Test Prep | TSI |

### Transcript

inside that machine between when we dumped the numbers in

and we get the result after turning the crank a

few times Well the machine looks something like this and

let's Take off the side pale and put our mitts

on and peek inside at the guts of the machine

All the goopy stuff way start off by finding the

mean that's His acts with the line over it will

some the values and divide by five So how do

we do that We got zero eight nine thirteen fourteen

We divide by five Forty for over five That's eight

point eight Well now we need to take each data

point Subtract the mean from them So that's the x

by minus the x mean part And that gets us

this table where we go from negative eight point eight

and the negative point eight and then point to and

on and on and on Okay And now we need

to square those results So that's the ex sabai minus

the actual apart and we get well negative eight point

Eight and they were just squaring this thing Seventy seven

point four and then zero point six Foreign point No

foreign seventeen twenty seven Now we some those values that's

the sigma part So we got seventy seven point four

four and then point six four point oh four seventeen

hundred all gets one twenty two point eight in total

all right time to divide the in minus one thing

into it which is well five minus one because that's

what the end value is or four so that's one

twenty two point eight divided by four that's about thirty

point seven All we have left now is a swift

square rooting toe pull out finally the last part of

it So what's the square root of thirty point seven

in texas that's about five point five four so our

signal or standard deviation is about five point five four

that's it The answer is c we are fully shmoop 00:02:03.53 --> [endTime] it on this one