## Universities that Produce NBA players and Box-and-Whisker Plots

### Topic

Universities that produce NBA Players and Box-and-Whisker Plots

### Vocabulary

- Mean
- Median
- Mode
- Range
- Quartile

### Student Exploration

#### Which universities produce the most NBA players? And how can you display that information in a way graph that is user-friendly?

Examine the table below of the Universities that produced four or more NBA players for the 2010-2011 NBA season.

University | Number of NBA Players |
---|---|

U. of Florida | 9 |

Villanova | 4 |

Wake Forest | 8 |

Maryland | 4 |

U. of Connecticut | 10 |

Oklahoma State | 4 |

Ohio State | 7 |

Georgetown | 4 |

Stanford | 5 |

U. of Kansas | 12 |

Notre Dame | 4 |

U. of North Carolina | 10 |

George Tech | 7 |

U. of Texas at Austin | 10 |

Florida State | 4 |

UCLA | 14 |

Xavier | 4 |

U. of Washington | 5 |

Duke | 13 |

Alabama | 4 |

Syracuse | 6 |

USC | 5 |

Memphis | 7 |

UNLV | 4 |

UC Berkeley | 4 |

U. of Arizona | 11 |

Michigan State | 5 |

U. of Kentucky | 13 |

Louisiana State U. | 6 |

Use this data table to create a box-and-whisker plot to represent the number of NBA players that come from these Universities.

### Extension Investigation

Examine the table above of the Universities that produced four or more NBA players for the 2010-2011 NBA season.

- Find the mean.
- Find the median.
- Find the mode.
- Find the range.
- Find the first and third quartiles. Do not include the median as part of either the lower or the upper half of the data.
- \begin{align*}Q_1 =\end{align*}
- \begin{align*}Q_3 =\end{align*}
- Find the difference between \begin{align*}Q_3\end{align*} and \begin{align*}Q_1\end{align*}.

- If UCLA had 16 NBA players, will the median or mean change? Explain.
- If Ohio State had 10 NBA players, would the \begin{align*}Q_1\end{align*} and \begin{align*}Q_3\end{align*} change? And how would the graph change? Explain each.

### Resources Cited

### Connections to other CK-12 Subject Areas

- Measures of Central Tendency and Dispersion
- Mean
- Median
- Median of Large Sets of Data
- Mode