## 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.

*Here is what the box-and-whisker plot should look like that represents 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.
*7* - Find the median.
*5.5* - Find the mode.
*4* - Find the range.
*10* - Find the first and third quartiles. Do not include the median as part of either the lower or the upper half of the data.
- Find the difference between and .
*5*

- If UCLA had 16 NBA players, will the median or mean change? Explain.
*The median would not change as the order of the numbers or amount of universities with the same number of players doesn’t change. The mean will change as the sum of all the numbers in the set (or the number of players from the different universities) will change, causing the mean to change.* - If Ohio State had 10 NBA players, would the and change? And how would the graph change? Explain each.
*The third quartile will change as Ohio state is in the upper half of the data, above the median. This would then cause the graph to stretch slightly to the left, as the third quartile would change.*

### Resources Cited

### Connections to other CK-12 Subject Areas

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