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# Statistics #1

### Binomial theorem, variables, charts.

Term | Definition |
---|---|

What is the binomial theoum? | (x+y)^n |

First four lines of Pascal's Triangle. | 1, 1-1, 1-2-1, 1-3-3-1, 1-4-6-4-1 |

Permutation patterns for ordering 2 people, 3 people, 4 people, and 5 people ___ # of ways. | 2 ways = 2 ppl = 2(1) = 2! ; 6 ways = 3 ppl = 3(2)1 = 3! ; etc. |

How many different ways can you select president and vice president from a pool of five people? | 5nPr3 = 60 |

What is the original permutation formula? | nPr = (n!) / (n-r)! |

How many different ways can you select 2 people from a pool of five? | (5P2) / (2!) = 10 = 5C2 |

What is the combination formula? | nCr = nC(n-r) = (nPr) / (n!) |

In permutation does order matter? | yes |

In combination does order matter? | no |

Define categorical (qualitative) data | The numbers are just labels and their values are arbitrary. Ex: dog's gender, color, and breed. |

Define quantitative data | Variables recorded in numbers are called quantitative variables Ex. Incomes, heights, weights, ages. |

What is the purpose of a frequency table? | To count and record data |

What is a relative frequency table? | has percentages |

What is cumulative related frequency table? | Add the person previous to the next value. Ex: red = 30%, gray = 80%, blue = 100% |

What is a Contingency table? | A table which shows how the individuals are distributed along each variable, contingent on the value of the other variable. |

What is the formula for marginal distribution? | Margins / grand total |

What is conditional distribution? | cell value / margin |

Created by:
yinyang2424