
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 chart below records the number of goals scored in a month by the top scorers in a football league. Determine the average number of goals scored by these players.

[asy]
draw((18,0)--(0,0)--(0,18));
label("5",(3,-1));
label("6",(6,-1));
label("7",(9,-1));
label("9",(12,-1));
label("12",(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((6,5)..(6.5,5.5)..(6,6)..(5.5,5.5)..cycle);
fill((9,.5)..(9.5,1)..(9,1.5)..(8.5,1)..cycle);
fill((9,2)..(9.5,2.5)..(9,3)..(8.5,2.5)..cycle);
fill((12,.5)..(12.5,1)..(12,1.5)..(11.5,1)..cycle);
fill((15,.5)..(15.5,1)..(15,1.5)..(14.5,1)..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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