Ways to Measure Central Tendency



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|2.1 Describing Location in a Distribution |

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|Percentiles |

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|Definition | |

| |25th percentile |90th percentile |50th percentile |

|Distribution Examples | | | |

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|Problem 1 – More Test Scores |

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|The test scores from a particular AP Stats exam are as follows: |

|72 73 73 74 75 77 77 77 78 79 79 80 80 81 82 83 83 83 84 85 86 89 90 93 |

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|Construct a stemplot of the data. |

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|In what percentile does a student fall if they score an 86 on the exam? |

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|In what percentile does a student fall if they score a 72 on the exam? |

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|Problem 2 – Wins in Major League Baseball |

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|The stemplot below shows the number of wins for each of the 30 Major League Baseball teams in 2009. |

|5 9 |

|6 2455 |

|7 00455589 |

|8 0345667778 |

|9 123557 |

|10 3 |

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|Calculate and interpret the percentiles for the Colorado Rockies who had 92 wins, the New York Yankees who had 103 wins, and the Cleveland Indians who had |

|65 wins. |

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|How many games did a team in the 60th percentile win? |

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|Relative Frequency and Ogives | |

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|Median Income* |

|Frequency |

|Relative Frequency |

|Cumulative Frequency |

|Cumulative Relative Frequency |

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