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

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 |

Mathematics and Statistics Assessment | Statistical Measures |

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

pretty simple process is long as we have a mean

a standard deviation and a value to compare to the

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

scores finding how far our given value is from the

mean in units of standard deviation If our value of

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

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

score will be negative right If our value is equal

to the meanwhile then z is just zero r value

of interest here is a thousand while our mean is

a thousand to sixty five r z score will be

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

there over the sigma that the thousand minus thousand two

point six five or forty eight got negative two point

six five over four point nine eight so that gives

a z score about negative point five three two and

that means our value is about half a standard deviation

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