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# Stats Chapter 6

### vocab

Question | Answer |
---|---|

standardizing | standardize to eliminate units; standardized values can be compared and combined even if the original variables have different units and magnitudes |

standardized value | a value found by subtracting the mean and dividing by the standard deviation |

shifting | adding a constant to each data value adds the same constant to the mean, the median, and the quartiles, but does not change the standard deviation or IQR |

rescaling | multiplying each data value by a constant multiplies both the measures of position (mean, median, and quartiles) and the measures of spread (standard deviation and IQR) by that constant |

normal model | family of models for unimodal, symmetric distributions |

parameter | a numerically valued attribute of a model |

statistic | a value calculated from data to summarize aspects of the data; mean, ybar, standard deviation are all statistics |

z-score | tells how many standard deviations a value is from the mean; have a mean of 0 and a standard deviation of 1 |

standard normal model | normal model N(mean, sx) |

nearly normal condition | a distribution is nearly normal if it is unimodal and symmetric |

68-95-99.7 rule | in a normal model, 68% of the values fall within 1 SX, 95% within 2SX, and 99.7% within 3SX of the mean |

normal percentile | corresponding to a z-score gives the percentage of values in a standard normal distribution found at that z-score or below |

normal probability plot | helps assess whether a distribution of a data is approximately normal if the plot is nearly straight |

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