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Understanding the Accuracy of Paintball Guns: Paintball Scatter A Science Fair Project by Mitchell Skroch [email protected] Our Lady of the Assumption School 5 th Grade Albuquerque, NM January 27 th , 2005

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Page 1: paintball scatter report - Skrochskroch.org/paintball-scatter-report.pdf · Paintball Scatter January 27th, 2005 Abstract Purpose The purpose of this science fair experiment was to

Understanding the Accuracy of Paintball Guns:

Paintball Scatter

A Science Fair Project by

Mitchell Skroch

[email protected]

Our Lady of the Assumption School 5th Grade

Albuquerque, NM

January 27th, 2005

Page 2: paintball scatter report - Skrochskroch.org/paintball-scatter-report.pdf · Paintball Scatter January 27th, 2005 Abstract Purpose The purpose of this science fair experiment was to

Understanding the Accuracy of Paintball Guns: 2 Paintball Scatter January 27th, 2005

Table of Contents Acknowledgements......................................................................................................................... 2 Abstract ........................................................................................................................................... 3 Purpose............................................................................................................................................ 4 Hypothesis....................................................................................................................................... 4 Procedure ........................................................................................................................................ 4 Results............................................................................................................................................. 7 Conclusion .................................................................................................................................... 11 Bibliography ................................................................................................................................. 11 Appendix 1 – Pictures of Experiment........................................................................................... 12

Acknowledgements

Page 3: paintball scatter report - Skrochskroch.org/paintball-scatter-report.pdf · Paintball Scatter January 27th, 2005 Abstract Purpose The purpose of this science fair experiment was to

Understanding the Accuracy of Paintball Guns: 3 Paintball Scatter January 27th, 2005

Abstract Purpose The purpose of this science fair experiment was to learn what things affect the scatter of paintballs and how to build the best paintball marker (gun). We decided that accuracy of paintball guns doesn’t matter because paintball players don’t aim their markers (with crosshair, scope, etc.). They shoot one or more rounds as tracers to the target and adjust their aim. Hypothesis My hypothesis was “By understanding things that affect paintball gun scatter, I can pick the best set up for a gun and show it is the most accurate.” Procedure This is a short procedure. We have a longer procedure listed in my report.

1. Get three paintball markers, four barrels, and six paintball types. 2. Hold 18 trials of 20 paintball shots each. 3. Record data after each shot. 4. Figure out which marker, barrel, and paintball were best.

Results I recorded the location that each paintball hit on my target for each of the trials. I had my father help me figure out the math for two kinds of errors on each trial. Conclusions I concluded that I proved my hypothesis. I was able to learn enough about barrel length, the markers, and paintballs to pick the best setup for playing paintball. I learned that it doesn’t matter if your paintball marker is cheap or expensive, because the results and graphs showed that they are almost the same. I learned that the 12-inch barrel worked the best because it is not too long and it is not too short. The 14-inch barrel was worse than the 12-inch barrel for the two expensive markers. The 14-inch barrel worked a little better than the 12-inch barrel for the cheaper gun G3. I learned that paintball P5, is the best paintball because it has a thicker shell to go through brush. It also cost more than the other paintballs. I know this because I have looked at about four different charts that say the same thing.

Page 4: paintball scatter report - Skrochskroch.org/paintball-scatter-report.pdf · Paintball Scatter January 27th, 2005 Abstract Purpose The purpose of this science fair experiment was to

Understanding the Accuracy of Paintball Guns: 4 Paintball Scatter January 27th, 2005

Purpose The purpose of this science fair experiment was to learn what things affect the scatter of paintballs and how to build the best paintball marker (gun). We decided that accuracy of paintball guns doesn’t matter because paintball players don’t aim their markers (with crosshair, scope, etc.). They shoot one or more rounds as tracers to the target and adjust their aim.

Hypothesis My first hypothesis was “By understanding things that affect paintball gun scatter, I can pick the best set up for a gun and show it is the most accurate.” After doing research I found out that scatter matters more for playing paintball, so I had to use scatter. Accuracy means that the ball hits where you aim, but in paintball there is no way to target your marker on a spot. Scatter is more important because you adjust your aim after you see where your last shot hit. Bigger scatter makes it harder to adjust your aim and hit your target.

Procedure I had procedures before, during, and after my experiment. I didn’t think I had this many procedures when I started this science fair project. I found out we had not planned out the project and I learned more about the experiment procedures we talked to more people about paintball. My first set of procedures before I started was:

1. Don’t consider human skill in the experiment. Use a fixed tripod. Develop tripod. 2. Decide which things can affect targeting accuracy of a paintball gun. 3. Pick two to four of these things as my independent variables. Examples are gun quality,

paintball quality, and barrel length. 4. Write a list of safety rules for using the paintball gun. Follow rules. 5. Have adult present during experiment. 6. Think about things that could add error to my experiment and try to avoid them. 7. Think about experiment controls that might help find error. 8. Run numerous trials for each independent variable. 9. Measure accuracy of paintball targeting in each trial. Measure the scatter of the

paintballs on a target. 10. Record data from each trial. 11. From looking at the data, decide which set up should be the most accurate.

Page 5: paintball scatter report - Skrochskroch.org/paintball-scatter-report.pdf · Paintball Scatter January 27th, 2005 Abstract Purpose The purpose of this science fair experiment was to

Understanding the Accuracy of Paintball Guns: 5 Paintball Scatter January 27th, 2005

12. Assemble most accurate set up. 13. Run numerous trials for the most accurate setup. Record data. 14. Compare data to other trials. See if hypothesis is correct.

After I learned more I had three procedures. They were before, during, and after the experiment. Procedures before the experiment: 1. Research topic, visit paintball stores to learn about markers, paintballs. Decide which things

affect paintball scatter. 2. Pick a few of these for my controls (marker, barrel, paintball).

a. What is the best paintball? b. What is the best marker? c. What is the best barrel length to use for markers?

3. Make my equipment (apparatus) a. Tripod to hold gun. b. Target with grid to measure location of paintball hits.

4. Obtain equipment a. Rio Rancho Paintball Emporium let me borrow two markers and three barrels, CO2

canister. b. I used my own marker and barrel. c. We bought different types of paintballs, expensive and cheaper.

5. Plan for safety during my experiment a. Wear safety equipment. b. Follow gun safety rules and safety rules for markers c. Have an adult present.

6. Think about fixed controls during my experiment to reduce experimental error. a. Aim, human skill – used tripod b. Distance – fixed for all trials (84 feet, 6 inches) c. Temperature – same during whole experiment (53ºF) d. Wind – very light wind for all trials

7. Decide how I am going to measure scatter error in the experiment. My father and I talked about different ways. I picked two:

a. Maximum Radius – This is the radius of a circle from the center of the scatter to the furthest shot

b. Average Radius – Add up all of the radii from each shot to the center of the scatter and divide by the number of shots.

Procedures during the experiment: 1. Pick up borrowed equipment from Rio Rancho Paintball Emporium. 2. Follow safety rules 3. Record temperature. 4. Record trial equipment list for each trial. 5. For each trial use 20 paintballs. Record paintball hit location after each shot. 6. Wash off target after each trial with hose.

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Understanding the Accuracy of Paintball Guns: 6 Paintball Scatter January 27th, 2005

7. Repeat process for all 18 trials. This took me 5 ½ hours with my father’s help. 8. Clean up. 9. Return borrowed equipment. Procedures after the experiment: 1. My father set up an Excel spreadsheet that would do the math for finding the scatter errors.

The math did these things for each trial: a. Find the center of the scatter b. Pick the Maximum Error c. Figure out the Average Error

2. I entered data from each trial into the Excel spreadsheet 3. My father showed me how to make tables, bar charts and graphs with Excel

a. Draw the scatter graphs for each trial b. Make bar charts of all the errors for each trial. c. Print the table of all trial results

4. I shot paintballs at the target to dry for my experiment display. 5. I looked at the table and bar charts and decided which things affected paintball scatter and

which things were best. 6. I wrote the conclusions and report. Equipment for my experiment was three markers (guns), four barrels, six types of paintballs, CO2 canister, safety equipment, target, measuring tape, water hose, and a thermometer. I gave my equipment short names that were experiment controls (marker, barrels, and paintballs). My control equipment is listed below. Markers

G1 – Spyder Vector 2 G2 – Spyder Shutter (set hot – paintball comes out faster, velocity higher) G3 – Brass Eagle After Burner

Barrels

B1 – 9 inches B2 – 9.5 inches B3 – 12 inches B4 – 14 inches

Paintballs

P1 – GAP black paintball (new) P2 – Wild Streak orange paintball by Brass Eagle P3 – Metallic Gold and purple paintball P4 – Scorch red paintballs by Draxxus P5 – Evil yellow paintballs by Empire P6 – Misk red and white paintballs (1 year old)

Page 7: paintball scatter report - Skrochskroch.org/paintball-scatter-report.pdf · Paintball Scatter January 27th, 2005 Abstract Purpose The purpose of this science fair experiment was to

Understanding the Accuracy of Paintball Guns: 7 Paintball Scatter January 27th, 2005

Results I didn’t realize that it would take five and a half hours to test all of the things I had planned to learn more about paintball scatter. I wrote down all of my experiment data in my notebook during the experiment. For all the experiment trials the distance from the paintball marker to the target was 74 feet six inches. The temperature was 53 degrees Fahrenheit. The fastest experiment was testing six paintballs with the same barrel and marker. These charts show where the paintballs hit for each trial.

Trial of Six Different Paintballs

Independent variable = paintball, Control = marker #1, barrel #3, Scale = inches 20 paintballs per trial

The next set of trials took the longest to measure. It had three different markers and four different barrels. I wanted to test all of these because I wanted to know if a certain gun did better with a different barrel. These charts show where the paintballs hit for each trial.

Trial 13 - G1 B3 P1

-10

-8

-6

-4

-2

0

2

4

6

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-15 -10 -5 0 5 10 15 20 25

Trial 14 - G1 B3 P2

-50

-40

-30

-20

-10

0

10

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-12 -10 -8 -6 -4 -2 0 2 4 6 8

Trial 15 - G1 B2 P3

-25

-20

-15

-10

- 5

0

5

10

15

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-15 -10 -5 0 5 10 15 20

Trial 16 - G1 B3 P4

-25

-20

-15

-10

-5

0

5

10

15

20

-12 -10 -8 -6 -4 -2 0 2 4 6 8

Trial 18 - G1 B3 P3

-35

-30

-25

-20

-15

-10

-5

0

5

10

15

-10 -5 0 5 10 15

Trial 3 & 17 - G1 B3 P5

-10

-8

-6

-4

-2

0

2

4

6

-10 -5 0 5 10

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Understanding the Accuracy of Paintball Guns: 8 Paintball Scatter January 27th, 2005

Trials of Three Markers and Four Barrels

Independent variable = marker (four trials each), Independent variable = barrel (three trials each) Control = paintball #5, Scale = inches, 20 paintballs per trial

Trial 1 - G1 B1 P5

-10

-5

0

5

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15

-20 -10 0 10 20

Trial 2 - G1 B2 P4

-8

-6

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-15 -10 -5 0 5 10 15

Trial 3 & 17 - G1 B3 P5

-10

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-10 -5 0 5 10

Trial 4 - G1 B4 P5

-15

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-10 -5 0 5 10

Trial 5 - G2 B1 P5

-10

- 8

- 6

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- 2

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- 15 -10 -5 0 5 10 15 20 25

Trial 6 - G2 B2 P5

-15

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Trial 7 - G2 B3 P5

-15

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Trial 8 - G2 B4 P5

-10

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Trial 9 - G3 B1 P5

-20

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Trial 10 - G3 B2 P5

- 8

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- 10 - 5 0 5 10 15 20 25 30 35

Trial 11 - G3 B3 P5

-8

-6

-4

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8

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- 15 -10 -5 0 5 10

Trial 12 - G3 B4 P5

-12

-10

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-4

-2

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- 10 -5 0 5 10

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Understanding the Accuracy of Paintball Guns: 9 Paintball Scatter January 27th, 2005

Results of all of the trials are in this table. I circled the best results in green and the worst results in red. Average radius and max radius

Trial Equipment Average Radius

Maximum Radius

1 G1 B1 P5 8.9 18.4 2 G1 B2 P5 6.6 12.6 3 G1 B3 P5 5.0 10.2 4 G1 B4 P5 7.0 13.5 5 G2 B1 P5 7.5 20.8 6 G2 B2 P5 6.8 13.6 7 G2 B3 P5 5.7 12.8 8 G2 B4 P5 8.3 26.7 9 G3 B1 P5 6.1 30.1 10 G3 B2 P5 6.1 30.1 11 G3 B3 P5 5.9 13.1 12 G3 B4 P5 5.8 11.4 13 G1 B3 P1 7.6 21.3 14 G1 B3 P2 9.8 44.2 15 G1 B3 P3 9.4 21.0 16 G1 B3 P4 9.3 20.9 17 G1 B3 P5 5.0 10.2 18 G1 B3 P6 9.8 31.5

Table of Trial Results Average and Maximum Radius Error (inches)

The data in this graph was put on two charts to help see what the best setup was, and what paintball was best.

Page 10: paintball scatter report - Skrochskroch.org/paintball-scatter-report.pdf · Paintball Scatter January 27th, 2005 Abstract Purpose The purpose of this science fair experiment was to

Understanding the Accuracy of Paintball Guns: 10 Paintball Scatter January 27th, 2005

Graphs of Trial Results Average and Maximum Radius Error (inches)

Trials of 3 Guns with 4 Barrel Lengths Each

0.0

5.0

10.0

15.0

20.0

25.0

30.0

35.0

G1 B1P5

G1 B2P5

G1 B3P5

G1 B4P5

G2 B1P5

G2 B2P5

G2 B3P5

G2 B4P5

G3 B1P5

G3 B2P5

G3 B3P5

G3 B4P5

1 2 3 4 5 6 7 8 9 10 11 12

Trial Number and Equipment

Erro

r Val

ues

(inch

es)

Average

Maxim um

G = Gun B = Barrel P = Paintball

Gun 1

Gun 2 Gun 3

Trials of 6 Different Paintballs

0.05.0

10.015.020.025.030.035.040.045.050.0

G1 B3 P1 G1 B3 P2 G1 B3 P3 G1 B3 P4 G1 B3 P5 G1 B3 P6

13 14 15 16 17 18

Trial Num ber and Equipm ent

Erro

r Val

ues

(inch

es)

Average

MaximumG = Gun B = Barrel P = Paintball

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Understanding the Accuracy of Paintball Guns: 11 Paintball Scatter January 27th, 2005

Conclusion I concluded that I proved my hypothesis. I was able to learn enough about barrel length, the markers, and paintballs to pick the best setup for playing paintball. I learned that it doesn’t matter if your paintball marker is cheap or expensive, because the results and graphs showed that they are almost the same. I also learned that the speed of the paintball coming out of the marker doesn’t matter that much. Marker G2 was set “hot,” which means the paintball comes out faster than the other markers. The paintball store set G2 to be 300 feet per second or over. The other markers were about 250-275 feet per second. I think it is still good to get an expensive gun because it would probably be better so the marker won’t jam as much. I learned that the 12-inch barrel worked the best because it is not too long and it is not too short. The 14-inch barrel was worse than the 12-inch barrel for the two expensive markers. The 14-inch barrel worked a little better than the 12-inch barrel for the cheaper marker, G3. I learned that paintball P5 is the best paintball. It has a thicker shell to go through brush. It also cost more than the other paintballs. Paintball P5 had about twice as accurate scatter as the other paintballs. Well this project was really cool, and I had fun with it. I would like to thank Rio Rancho Paintball Emporium for letting me borrow paintball guns and barrels. If you ever want to paintball you should get al of your supplies from Rio Rancho Paintball Emporium. You can get the best equipment from my science project there. They are the 12 inch barrel, the evil paintballs by Empire, and the Spyder Vector 2.

Bibliography I could not find any books on paintball accuracy or scatter, so most of my research was done looking on the Internet and talking to owners of stores.

1. Internet research: paintballguns.com and actionvilliage.com. 2. Discussions with owner of Rio Rancho Paintball Emporium, 1542 Stephanie Rd., Unit-

M, Rio Rancho, NM 87124, 505-891-1118, 505-235-2740. 3. Discussions with owner of Paintball Guns-N-Stuff, 6301 4th St., NW, Albuquerque, NM,

345-6870.

Page 12: paintball scatter report - Skrochskroch.org/paintball-scatter-report.pdf · Paintball Scatter January 27th, 2005 Abstract Purpose The purpose of this science fair experiment was to

Understanding the Accuracy of Paintball Guns: 12 Paintball Scatter January 27th, 2005

Appendix 1 – Pictures of Experiment

Data was recorded after each shot. Red paintball fired from

marker Distance to target: 74

feet 6 inches.

Yellow paintball fired from

marker. Markers were on tripod for

all trials. Target after 20 shots.

Four barrel lengths: 9”, 9.5”, 12”, 14”

Page 13: paintball scatter report - Skrochskroch.org/paintball-scatter-report.pdf · Paintball Scatter January 27th, 2005 Abstract Purpose The purpose of this science fair experiment was to

Understanding the Accuracy of Paintball Guns: 13 Paintball Scatter January 27th, 2005

Marker equipment. G1 = top blue marker, G2 = bottom blue marker, G3 = right black marker. Also shown is the

paintball hopper for G1 and G2, and the CO2 cylinder.

Six paintballs tested.

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Understanding the Accuracy of Paintball Guns: 14 Paintball Scatter January 27th, 2005

Science Fair Display.

Page 15: paintball scatter report - Skrochskroch.org/paintball-scatter-report.pdf · Paintball Scatter January 27th, 2005 Abstract Purpose The purpose of this science fair experiment was to

Trial 1 G1 B1 P5 Best Barrel/GunX Y Adj X Adj Y X Y

1 8 23.5 -10 1.8 10.2 Centroid = 18 21.72 8.5 17.5 -9.5 -4.2 10.4 Std Dev = 8.6207 5.497 10.23 14.5 15 -3.5 -6.7 7.6 Avg Radius = 8.94 17.5 15 -0.5 -6.7 6.7 Max Radius = 18.45 15.5 24 -2.5 2.3 3.46 22 31 4 9.3 10.17 31 26 13 4.3 13.78 30.5 33.5 12.5 11.8 17.29 16 26.5 -2 4.8 5.2

10 25 23.5 7 1.8 7.211 26.5 14.5 8.5 -7.2 11.112 22 16.5 4 -5.2 6.613 22.5 21.5 4.5 -0.2 4.514 25.5 14 7.5 -7.7 10.715 25.5 25 7.5 3.3 8.216 11.5 17 -6.5 -4.7 8.017 19.5 22.5 1.5 0.8 1.718 0 25.5 -18 3.8 18.419 15 20.5 -3 -1.2 3.220 3.5 21.5 -14.5 -0.2 14.5

Trial 2 G1 B2 P5 Best Barrel/GunX Y Adj X Adj Y X Y

1 17 17.5 -7.2 -5.55 9.1 Centroid = 24.2 23.052 12.5 18.5 -11.7 -4.55 12.6 Std Dev = 6.4978 3.903 7.63 14.5 18 -9.7 -5.05 10.9 Avg Radius = 6.64 16 20 -8.2 -3.05 8.7 Max Radius = 12.65 20.5 22.5 -3.7 -0.55 3.76 21.5 21.5 -2.7 -1.55 3.17 24.5 20 0.3 -3.05 3.18 23 24 -1.2 0.95 1.59 25 23 0.8 -0.05 0.8

10 21.5 22 -2.7 -1.05 2.911 30.5 25.5 6.3 2.45 6.812 31.5 23.5 7.3 0.45 7.313 29.5 26.5 5.3 3.45 6.314 31.5 23.5 7.3 0.45 7.315 20.5 19 -3.7 -4.05 5.516 31.5 30.5 7.3 7.45 10.417 20 28.5 -4.2 5.45 6.918 29 28 4.8 4.95 6.919 35 29 10.8 5.95 12.320 29 20 4.8 -3.05 5.7

Trial 3 & 17 G1 B3 P5 Best Barrel/GunX Y Adj X Adj Y X Y

1 15.5 18.5 8.425 2.725 8.9 Centroid = 7.075 15.782 6.5 14.5 -0.575 -1.275 1.4 Std Dev = 4.7359 3.485 5.93 11 20 3.925 4.225 5.8 Avg Radius = 5.04 6.5 15.5 -0.575 -0.275 0.6 Max Radius = 10.25 13 7.5 5.925 -8.275 10.26 9.5 19.5 2.425 3.725 4.47 9.5 19.5 2.425 3.725 4.48 6 15 -1.075 -0.775 1.39 11.5 19.5 4.425 3.725 5.8

10 11.5 20.5 4.425 4.725 6.511 10 16 2.925 0.225 2.912 5 12 -2.075 -3.775 4.313 0 17 -7.075 1.225 7.214 0 12.5 -7.075 -3.275 7.815 11.5 18.5 4.425 2.725 5.216 7 15 -0.075 -0.775 0.817 4 14.5 -3.075 -1.275 3.318 3 15 -4.075 -0.775 4.119 0 15 -7.075 -0.775 7.1

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20 0.5 10 -6.575 -5.775 8.8

Trial 4 G1 B4 P5 Best Barrel/GunX Y Adj X Adj Y X Y

1 5 20 -7.525 1.525 7.7 Centroid = 12.525 18.482 21.5 28.5 8.975 10.025 13.5 Std Dev = 4.5954 6.799 8.23 12.5 31 -0.025 12.525 12.5 Avg Radius = 7.04 15 22 2.475 3.525 4.3 Max Radius = 13.55 12 22 -0.525 3.525 3.66 17 21 4.475 2.525 5.17 13.5 11.5 0.975 -6.975 7.08 5.5 8.5 -7.025 -9.975 12.29 10 26 -2.525 7.525 7.9

10 20.5 9 7.975 -9.475 12.411 11.5 15.5 -1.025 -2.975 3.112 15 24.5 2.475 6.025 6.513 9.5 23.5 -3.025 5.025 5.914 12.5 18.5 -0.025 0.025 0.015 9 13.5 -3.525 -4.975 6.116 10.5 20.5 -2.025 2.025 2.917 20 15 7.475 -3.475 8.218 11.5 13.5 -1.025 -4.975 5.119 7.5 6 -5.025 -12.475 13.420 11 19.5 -1.525 1.025 1.8

Trial 5 G2 B1 P5 Best Barrel/GunX Y Adj X Adj Y X Y

1 13 22 -7.225 2.45 7.6 Centroid = 20.225 19.552 23.5 15.5 3.275 -4.05 5.2 Std Dev = 7.5419 4.577 8.83 18 21 -2.225 1.45 2.7 Avg Radius = 7.54 16.5 23.5 -3.725 3.95 5.4 Max Radius = 20.85 19 27 -1.225 7.45 7.66 13.5 24.5 -6.725 4.95 8.47 13.5 22.5 -6.725 2.95 7.38 15 19 -5.225 -0.55 5.39 23 21.5 2.775 1.95 3.4

10 26.5 18 6.275 -1.55 6.511 23.5 13 3.275 -6.55 7.312 27 14 6.775 -5.55 8.813 31 15.5 10.775 -4.05 11.514 41 20 20.775 0.45 20.815 14 23 -6.225 3.45 7.116 19 18 -1.225 -1.55 2.017 21 23.5 0.775 3.95 4.018 8 10.5 -12.225 -9.05 15.219 15 25 -5.225 5.45 7.620 23.5 14 3.275 -5.55 6.4

Trial 6 G2 B2 P5 Best Barrel/GunX Y Adj X Adj Y X Y

1 16.5 12 -4.15 -8.075 9.1 Centroid = 20.65 20.082 18 31 -2.65 10.925 11.2 Std Dev = 6.2093 4.873 7.93 10 26 -10.65 5.925 12.2 Avg Radius = 6.84 12 17 -8.65 -3.075 9.2 Max Radius = 13.65 12.5 22 -8.15 1.925 8.46 21 18.5 0.35 -1.575 1.67 22 23 1.35 2.925 3.28 24 20 3.35 -0.075 3.49 14 24.5 -6.65 4.425 8.0

10 17.5 21.5 -3.15 1.425 3.511 22 21.5 1.35 1.425 2.012 27 21.5 6.35 1.425 6.513 20 16.5 -0.65 -3.575 3.614 23 20 2.35 -0.075 2.415 24 25 3.35 4.925 6.016 15.5 20 -5.15 -0.075 5.2

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17 26.5 17 5.85 -3.075 6.618 23.5 10.5 2.85 -9.575 10.019 32.5 13.5 11.85 -6.575 13.620 31.5 20.5 10.85 0.425 10.9

Trial 7 G2 B3 P5 Best Barrel/GunX Y Adj X Adj Y X Y

1 21 14.5 -1 -1.875 2.1 Centroid = 22 16.382 14.5 6 -7.5 -10.375 12.8 Std Dev = 4.6425 4.599 6.53 20 14.5 -2 -1.875 2.7 Avg Radius = 5.74 25.5 19.5 3.5 3.125 4.7 Max Radius = 12.85 23 19.5 1 3.125 3.36 28 12 6 -4.375 7.47 19.5 10 -2.5 -6.375 6.88 26 15.5 4 -0.875 4.19 29.5 21 7.5 4.625 8.8

10 20 15 -2 -1.375 2.411 16.5 15.5 -5.5 -0.875 5.612 20 25 -2 8.625 8.913 16 21 -6 4.625 7.614 20.5 19.5 -1.5 3.125 3.515 21 17 -1 0.625 1.216 14 16 -8 -0.375 8.017 25 20 3 3.625 4.718 28 15 6 -1.375 6.219 27 10 5 -6.375 8.120 25 21 3 4.625 5.5

Trial 8 G2 B4 P5 Best Barrel/GunX Y Adj X Adj Y X Y

1 22.5 16 1.5 -5.15 5.4 Centroid = 21 21.152 17.5 24 -3.5 2.85 4.5 Std Dev = 3.6814 4.56 5.93 18 17 -3 -4.15 5.1 Avg Radius = 5.44 22 26 1 4.85 5.0 Max Radius = 8.85 19 27 -2 5.85 6.26 14 26.5 -7 5.35 8.87 19 26.5 -2 5.35 5.78 21.5 14 0.5 -7.15 7.29 25 21.5 4 0.35 4.0

10 18 20 -3 -1.15 3.211 21 17 0 -4.15 4.212 18.5 13 -2.5 -8.15 8.513 22 19 1 -2.15 2.414 24 20 3 -1.15 3.215 25 25.5 4 4.35 5.916 14 26.5 -7 5.35 8.817 25 22 4 0.85 4.118 24 20 3 -1.15 3.219 22.5 16.5 1.5 -4.65 4.920 27.5 25 6.5 3.85 7.6

Trial 9 G3 B1 P5 Best Barrel/GunX Y Adj X Adj Y X Y

1 13.5 16.5 -2.025 -12.4 12.6 Centroid = 15.525 28.92 37 13 21.475 -15.9 26.7 Std Dev = 8.1716 6.595 10.53 24.5 25.5 8.975 -3.4 9.6 Avg Radius = 8.34 8 31 -7.525 2.1 7.8 Max Radius = 26.75 31 26 15.475 -2.9 15.76 19 29.5 3.475 0.6 3.57 15 29.5 -0.525 0.6 0.88 17.5 29.5 1.975 0.6 2.19 4 32.5 -11.525 3.6 12.1

10 15 33 -0.525 4.1 4.111 11.5 29.5 -4.025 0.6 4.112 7 36.5 -8.525 7.6 11.413 11.5 33 -4.025 4.1 5.7

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14 18 31 2.475 2.1 3.215 7 36.5 -8.525 7.6 11.416 15 16.5 -0.525 -12.4 12.417 17 32.5 1.475 3.6 3.918 13 30.5 -2.525 1.6 3.019 19 29.5 3.475 0.6 3.520 7 36.5 -8.525 7.6 11.4

Trial 10 G3 B2 P5 Best Barrel/GunX Y Adj X Adj Y X Y

1 20.5 23.5 0.175 -3.5 3.5 Centroid = 20.325 272 20.5 25 0.175 -2 2.0 Std Dev = 4.2092 3.681 5.63 25 20 4.675 -7 8.4 Avg Radius = 6.14 21 30 0.675 3 3.1 Max Radius = 30.15 19.5 26.5 -0.825 -0.5 1.06 22.5 30 30 3 30.17 32 30 11.675 3 12.18 20 31 -0.325 4 4.09 18 26 -2.325 -1 2.5

10 21.5 33 1.175 6 6.111 16 26.5 -4.325 -0.5 4.412 13 23 -7.325 -4 8.313 22 31 1.675 4 4.314 21 23 0.675 -4 4.115 17 26.5 -3.325 -0.5 3.416 24.5 20.5 4.175 -6.5 7.717 16 29 -4.325 2 4.818 23 30.5 2.675 3.5 4.419 19 26 -1.325 -1 1.720 14.5 29 -5.825 2 6.2

Trial 11 G3 B3 P5 Best Barrel/GunX Y Adj X Adj Y X Y

1 13.5 25.5 -6.075 -2.175 6.5 Centroid = 19.575 27.682 22 23.5 2.425 -4.175 4.8 Std Dev = 5.3932 3.781 6.63 13.5 26 -6.075 -1.675 6.3 Avg Radius = 5.94 21.5 22 1.925 -5.675 6.0 Max Radius = 13.15 24 22.5 4.425 -5.175 6.86 11 25.5 -8.575 -2.175 8.87 25 26.5 5.425 -1.175 5.68 6.5 29 -13.075 1.325 13.19 24 28 4.425 0.325 4.4

10 22 32.5 2.425 4.825 5.411 22 31.5 2.425 3.825 4.512 19 32 -0.575 4.325 4.413 19 33.5 -0.575 5.825 5.914 13.5 24 -6.075 -3.675 7.115 22 28 2.425 0.325 2.416 22 28 2.425 0.325 2.417 17 26.5 -2.575 -1.175 2.818 26 27.5 6.425 -0.175 6.419 22 25.5 2.425 -2.175 3.320 26 36 6.425 8.325 10.5

Trial 12 G3 B4 P5 Best Barrel/GunX Y Adj X Adj Y X Y

1 13 22.5 -1.425 -3.425 3.7 Centroid = 14.425 25.932 19 22 4.575 -3.925 6.0 Std Dev = 3.9413 5.265 6.63 15.5 24 1.075 -1.925 2.2 Avg Radius = 5.84 15 32.5 0.575 6.575 6.6 Max Radius = 11.45 19.5 29.5 5.075 3.575 6.26 14 30 -0.425 4.075 4.17 17 30 2.575 4.075 4.88 13 30 -1.425 4.075 4.39 17 26 2.575 0.075 2.6

10 13 20 -1.425 -5.925 6.1

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11 14 25 -0.425 -0.925 1.012 16 30.5 1.575 4.575 4.813 16.5 20.5 2.075 -5.425 5.814 12.5 25 -1.925 -0.925 2.115 11 15 -3.425 -10.925 11.416 8.5 19.5 -5.925 -6.425 8.717 22.5 33 8.075 7.075 10.718 6 31 -8.425 5.075 9.819 9 32 -5.425 6.075 8.120 16.5 20.5 2.075 -5.425 5.8

Trial 13 G1 B3 P1 Best PaintballX Y Adj X Adj Y X Y

1 13 22 -6.675 2.475 7.1 Centroid = 19.675 19.532 23.5 15.5 3.825 -4.025 5.6 Std Dev = 7.6902 4.555 8.93 18 21 -1.675 1.475 2.2 Avg Radius = 7.64 16.5 23 -3.175 3.475 4.7 Max Radius = 21.35 19 27 -0.675 7.475 7.56 13.5 24.5 -6.175 4.975 7.97 13.5 22.5 -6.175 2.975 6.98 15 19 -4.675 -0.525 4.79 23 21.5 3.325 1.975 3.9

10 26.5 18 6.825 -1.525 7.011 23.5 13 3.825 -6.525 7.612 27 14 7.325 -5.525 9.213 31 15.5 11.325 -4.025 12.014 41 20 21.325 0.475 21.315 14 23 -5.675 3.475 6.716 19 18 -0.675 -1.525 1.717 21 23.5 1.325 3.975 4.218 8 10.5 -11.675 -9.025 14.819 15 25 -4.675 5.475 7.220 12.5 14 -7.175 -5.525 9.1

Trial 14 G1 B3 P2 Best PaintballX Y Adj X Adj Y X Y

1 7 20.5 -5.725 -3.7 6.8 Centroid = 12.725 24.22 9 35 -3.725 10.8 11.4 Std Dev = 4.5523 12.42 13.23 13 27 0.275 2.8 2.8 Avg Radius = 9.84 7 17 -5.725 -7.2 9.2 Max Radius = 44.25 12.5 10.5 -0.225 -13.7 13.76 9 24.5 -3.725 0.3 3.77 14.5 30 1.775 5.8 6.18 19 26 6.275 1.8 6.59 8 26.5 -4.725 2.3 5.3

10 17 32 4.275 7.8 8.911 12 -20 -0.725 -44.2 44.212 18 25 5.275 0.8 5.313 13 32 0.275 7.8 7.814 18.5 28.5 5.775 4.3 7.215 19 25.5 6.275 1.3 6.416 10.5 14 -2.225 -10.2 10.417 16 37 3.275 12.8 13.218 3 28.5 -9.725 4.3 10.619 15 33 2.275 8.8 9.120 13.5 31.5 0.775 7.3 7.3

Trial 15 G1 B3 P3 Best PaintballX Y Adj X Adj Y X Y

1 12 14.5 -3.2 -6.825 7.5 Centroid = 15.2 21.332 2.5 22.5 -12.7 1.175 12.8 Std Dev = 7.155 8.455 11.13 27.5 28 12.3 6.675 14.0 Avg Radius = 9.44 8 23 -7.2 1.675 7.4 Max Radius = 21.05 19 23 3.8 1.675 4.26 19 23 3.8 1.675 4.27 13.5 30.5 -1.7 9.175 9.3

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8 19 23 3.8 1.675 4.29 13.5 30 -1.7 8.675 8.8

10 21 21 5.8 -0.325 5.811 23 31.5 7.8 10.175 12.812 5 23 -10.2 1.675 10.313 18.5 19.5 3.3 -1.825 3.814 18 13.5 2.8 -7.825 8.315 14.5 7.5 -0.7 -13.825 13.816 7 2 -8.2 -19.325 21.017 14 22.5 -1.2 1.175 1.718 7 9.5 -8.2 -11.825 14.419 13 23 -2.2 1.675 2.820 29 36 13.8 14.675 20.1

Trial 16 G1 B3 P4 Best PaintballX Y Adj X Adj Y X Y

1 18.5 27.5 -5.35 8.75 10.3 Centroid = 23.85 18.752 19.5 21.5 -4.35 2.75 5.1 Std Dev = 4.3471 10.12 11.03 27.5 12.5 3.65 -6.25 7.2 Avg Radius = 9.34 26 18 2.15 -0.75 2.3 Max Radius = 20.95 26 17 2.15 -1.75 2.86 20 7 -3.85 -11.75 12.47 28.5 2 4.65 -16.75 17.48 18.5 18.5 -5.35 -0.25 5.49 21.5 18.5 -2.35 -0.25 2.4

10 14.5 25.5 -9.35 6.75 11.511 24 2 0.15 -16.75 16.812 28 30 4.15 11.25 12.013 30 27.5 6.15 8.75 10.714 21 -2 -2.85 -20.75 20.915 22.5 33 -1.35 14.25 14.316 27 22 3.15 3.25 4.517 30 30 6.15 11.25 12.818 21.5 22 -2.35 3.25 4.019 27 15 3.15 -3.75 4.920 25.5 27.5 1.65 8.75 8.9

Trial 17 is same as trial 3, G1 B3 P5, Best Paintball

Trial 18 G1 B3 P6 Best PaintballX Y Adj X Adj Y X Y

1 19.5 27.5 -1.625 0.975 1.9 Centroid = 21.125 26.532 23 37 1.875 10.475 10.6 Std Dev = 5.6867 10.18 11.73 23 37 1.875 10.475 10.6 Avg Radius = 9.84 21 35 -0.125 8.475 8.5 Max Radius = 31.55 13.5 -4 -7.625 -30.525 31.56 26 33 4.875 6.475 8.17 15 26.5 -6.125 -0.025 6.18 23 32 1.875 5.475 5.89 28 29 6.875 2.475 7.3

10 17 9 -4.125 -17.525 18.011 26.5 16.5 5.375 -10.025 11.412 14 32 -7.125 5.475 9.013 13 22.5 -8.125 -4.025 9.114 19 32 -2.125 5.475 5.915 21 34 -0.125 7.475 7.516 28 20.5 6.875 -6.025 9.117 18 32 -3.125 5.475 6.318 29 20 7.875 -6.525 10.219 31 29 9.875 2.475 10.220 14 30 -7.125 3.475 7.9