### Answers − Stem-and-leaf Diagram Median

1. | Following is a stem-and-leaf diagram, with the key |

2 | 1 2 3 4 83 | 0 6 7 8 8 4 | 1 4 4 5 5 6 | |

Key: 2 | 1 represents 21 |

Find the median |

As there are 16 values, the median (midpoint) is between the 8^{th} and 9^{th} value in the stem-and-leaf diagram.The 8 ^{th} value is 37 and the 9^{th} value is 38. The midpoint between 37 and 38 is 37.5So the median is 37.5 |

2. | Following is a stem-and-leaf diagram, with the key |

3 | 2 5 6 74 | 0 1 4 6 7 7 5 | 0 2 3 9 6 | 0 0 | |

Key: 3 | 2 represents 32 |

Find the median |

As there are 16 values, the median (midpoint) is between the 8^{th} and 9^{th} value in the stem-and-leaf diagram.The 8 ^{th} value is 46 and the 9^{th} value is 47. The midpoint between 46 and 47 is 46.5So the median is 46.5 |

3. | Following is a stem-and-leaf diagram, with the key |

1 | 2 72 | 0 2 3 4 6 3 | 2 4 5 4 | 4 5 8 9 | |

Key: 1 | 2 represents 12 |

Find the median |

As there are 14 values, the median (midpoint) is between the 7^{th} and 8^{th} value in the stem-and-leaf diagram.The 7 ^{th} value is 26 and the 8^{th} value is 32. The midpoint between 26 and 32 is 29So the median is 29 |

4. | Following is a stem-and-leaf diagram, with the key |

2 | 1 2 6 7 83 | 1 8 4 | 0 1 3 7 5 | 0 2 9 | |

Key: 2 | 1 represents 21 |

Find the median |

As there are 14 values, the median (midpoint) is between the 7^{th} and 8^{th} value in the stem-and-leaf diagram.The 7 ^{th} value is 38 and the 8^{th} value is 40. The midpoint between 38 and 40 is 39So the median is 39 |

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