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Home , Brandon Bolden, Corey Clement, Darren Sproles, Dion Lewis, Jacob Hollister, Jay Ajayi

Box Plots g A boxplot is a graph depicting a group of numerical data through its five-number summary: the smallest value, lower quartile (Q1), median (Q2), upper quartile (Q3), and largest value. The left side The right side The end of of the of the The end of this whisker This line rectangle rectangle this whisker shows the shows the shows the shows the shows the smallest value median lower upper largest value quartile quartile

The width of the box shows the interquartile range (IQR)

To construct a box plot Step 1: Order the data list and find the five-number summary for the data. Step 2: Draw a horizontal axis and place the scale on the axis. The scale should start on or below the minimum value and end on or above the maximum data value.

Step 3: Locate the lowest data value, Q1, the median, Q3, and the highest data value. Draw a box whose vertical lines align with Q1 and Q3. Draw a vertical line in the box that aligns with the median. Lastly, draw a horizontal line, or whisker, that begins with the lowest data value and ends at the left side of the box and another horizontal line the begins with the right side of the box and ends with the highest data value.

Study the box plots below for trends in the data.

Complete the Five-Number Summaries and IQR for each city:

City Min Q1 Q2 Q3 Max IQR

Tucson

Seattle

Boston

Locate each city on the map below. Does each city’s location explain the difference in its box plot values?

Box Plots Rushing Yard Statistics for Patriots and , 2017

Philadelphia Eagles Write Yds here Write Yds here in order from in order from least to greatest least to greatest Super Super NAME YDS Player Yds Bowl Bowl

Carson Wentz 299 40

Corey Clement 321 67

Darren Sproles 61 -3

Jay Ajayi 408 Chris Hogan 17

Kenjon Barner 57 896 LeGarrette Blount 766 5

Nate Sudfeld 22

James White 171

Nelson Agholor 7 383 3

Nate Ebner 14 -3

Phillip Dorsett 7 174

Source: https://www.pro-football-reference.com 264 /teams/nwe/2017.htm *+ 28

Source: http://www.espn.com/nfl/team/stats/_/ name/phi/philadelphia-eagles

Using the data on the previous page, construct a box plot each for the Rushing Yards of the Patriots and Eagles. Then compare the box plots to analyze which data appears to indicate the “better” team.

Team Min Q1 Q2 Q3 Max Eagles

Patriots

–50 0 50 100 150 200 250 300 350 400 450 500 550 600 650 700 750 800 850

Box Plots Solutions Rushing Yard Statistics for New England Patriots and Philadelphia Eagles, 2017

Philadelphia Eagles Write Yds here New England Patriots Write Yds here in order from in order from least to greatest least to greatest Super Super NAME YDS Player Yds Bowl –3 Bowl –3

Carson Wentz 299 Brandin Cooks 40 1 3 5

Corey Clement 321 8 Brandon Bolden 67

Darren Sproles 61 7 7 Brian Hoyer -3

Jay Ajayi 408 57 Chris Hogan 17 4 22 14 57 Dion Lewis 896 39

LeGarrette Blount 766 90 57 17 Jacob Hollister 5

Nate Sudfeld 22

61 James White 171 45 28

Nelson Agholor 7 9 174 Mike Gillislee 383 40 Nick Foles 3

Nate Ebner 14 Torrey Smith -3 299 67

Phillip Dorsett 7 Wendell Smallwood 174 321 171 Source: https://www.pro-football-reference.com Rex Burkhead 264 18 /teams/nwe/2017.htm 408 Tom Brady*+ 28 6 264

766 Source: 383 http://www.espn.com/nfl/team/stats/_/ name/phi/philadelphia-eagles 896

Using the data on the previous page, construct a box plot each for the Rushing Yards of the Patriots and Eagles. Then compare the box plots to analyze which data appears to indicate the “better” team.

Team Min Q1 Q2 Q3 Max Eagles –3 7 61 321 766

Patriots –3 10.5 34 217.5 896

7 61 321 –3 766

10.5 34 217.5 –3 896

–50 0 50 100 150 200 250 300 350 400 450 500 550 600 650 700 750 800 850