
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The graph below shows the number of goals scored in March for the top scorers in a soccer league. Calculate the average number of goals scored by these players.

[asy]
draw((0,0)--(0,7)--(24,7)--(24,0)--cycle);
label("KEY:",(3,5));
fill((3,2.5)..(3.5,2)..(3,1.5)..(2.5,2)..cycle);
label("- one(1) soccer player",(14,2));
[/asy]

[asy]
draw((18,0)--(0,0)--(0,18));
label("3",(3,-1));
label("4",(6,-1));
label("5",(9,-1));
label("6",(12,-1));
label("7",(15,-1));
fill((3,.5)..(3.5,1)..(3,1.5)..(2.5,1)..cycle);
fill((3,2)..(3.5,2.5)..(3,3)..(2.5,2.5)..cycle);
fill((6,.5)..(6.5,1)..(6,1.5)..(5.5,1)..cycle);
fill((6,2)..(6.5,2.5)..(6,3)..(5.5,2.5)..cycle);
fill((6,3.5)..(6.5,4)..(6,4.5)..(5.5,4)..cycle);
fill((9,.5)..(9.5,1)..(9,1.5)..(8.5,1)..cycle);
fill((12,.5)..(12.5,1)..(12,1.5)..(11.5,1)..cycle);
label("Number of Goals",(9,-3));
picture perpLabel;
label(perpLabel,"Number of Top Scorers");
add(rotate(90)*perpLabel,(-1,9));
[/asy]

Present the answer in LaTex format: \boxed{Your answer}
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