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Applications of Box-and-Whisker Plots

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Practice Applications of Box-and-Whisker Plots
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Box and Whisker Plots - Answer Key

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

Topic

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

• 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.

Universities that were NBA Factories from the 2010-2011 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.

1. Find the mean. 7
2. Find the median. 5.5
3. Find the mode. 4
4. Find the range. 10
5. Find the first and third quartiles. Do not include the median as part of either the lower or the upper half of the data.
1. $Q_1 = 4$
2. $Q_3 = 9$
3. Find the difference between $Q_3$ and $Q_1$. 5
6. 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.
7. If Ohio State had 10 NBA players, would the $Q_1$ and $Q_3$ change? And how would the graph change? Explain each. The third quartile will change $(Q_3)$ 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.

Connections to other CK-12 Subject Areas

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