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Box Plots G a Boxplot Is a Graph Depicting a Group of Numerical Data Through Its Five-Number Summary: the Smallest Value

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Box Plots G a Boxplot Is a Graph Depicting a Group of Numerical Data Through Its Five-Number Summary: the Smallest Value 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 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 Bowl Carson Wentz 299 Brandin Cooks 40 Corey Clement 321 Brandon Bolden 67 Darren Sproles 61 Brian Hoyer -3 Jay Ajayi 408 Chris Hogan 17 Kenjon Barner 57 Dion Lewis 896 LeGarrette Blount 766 Jacob Hollister 5 Nate Sudfeld 22 James White 171 Nelson Agholor 7 Mike Gillislee 383 Nick Foles 3 Nate Ebner 14 Torrey Smith -3 Phillip Dorsett 7 Wendell Smallwood 174 Source: https://www.pro-football-reference.com Rex Burkhead 264 /teams/nwe/2017.htm Tom Brady*+ 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 Brian Hoyer -3 7 Jay Ajayi 408 57 22 Chris Hogan 17 4 14 Kenjon Barner 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 Tom Brady*+ 28 6 408 264 766 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 .
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