Problem B

How Tall are They, Really?

There were \(12\) players on the Canadian \(2020\) Olympic Women’s Basketball Team. The table below shows the height of each player.

Name |
Height |
---|---|

Natalie Achonwa | \(6\) feet, \(3\) inches |

Kayla Alexander | \(6\) feet, \(4\) inches |

Laeticia Amihere | \(6\) feet, \(2\) inches |

Miranda Ayim | \(6\) feet, \(3\) inches |

Bridget Carleton | \(6\) feet, \(1\) inch |

Shay Colley | \(5\) feet, \(8\) inches |

Aaliyah Edwards | \(6\) feet, \(3\) inches |

Nirra Fields | \(5\) feet, \(7\) inches |

Kim Gaucher | \(6\) feet, \(1\) inch |

Kia Nurse | \(6\) feet, \(0\) inches |

Shaina Pellington | \(5\) feet, \(8\) inches |

Nayo Raincock-Ekunwe | \(6\) feet, \(2\) inches |

Source: https://www.basketball.ca/team-canada-en/tokyo-2020

Create a stem-and-leaf plot to represent the heights in feet and inches of the players on the team. Use the number of feet as the stems, and the number of inches as the leaves.

Using your stem-and-leaf plot, find the median height of the players on the team.

Convert all the heights to inches, and then calculate the mean height of the players on the team. Recall that \(1~\text{foot} = 12~\text{inches}\).

For example, \(6\) feet is equal to \(6 \times 12=72\) inches, so a height of \(6\) feet, \(3\) inches is equal to \(72+3=75\) inches.

Assume that the mean height of a Canadian woman is \(5\) feet, \(4\) inches. How much taller, on average, are the players on this team?

**Theme:** Data Management