
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
Nine students participate in a new apple eating contest. The graph shows the number of apples eaten by each participating student. Cassie ate the most apples and Liam ate the fewest. Determine how many more apples than Liam did the average student eat?

[asy]
defaultpen(linewidth(1pt)+fontsize(10pt));
pair[] yaxis = new pair[11];
for( int i = 0 ; i < 11 ; ++i ){

yaxis[i] = (0,i);

draw(yaxis[i]--yaxis[i]+(18,0));
}
draw((0,0)--(0,10));
draw((18,10)--(18,0));

fill((1,0)--(1,3)--(2,3)--(2,0)--cycle,grey);
fill((3,0)--(3,5)--(4,5)--(4,0)--cycle,grey);
fill((5,0)--(5,9)--(6,9)--(6,0)--cycle,grey);
fill((7,0)--(7,6)--(8,6)--(8,0)--cycle,grey);
fill((9,0)--(9,8)--(10,8)--(10,0)--cycle,grey);
fill((11,0)--(11,7)--(12,7)--(12,0)--cycle,grey);
fill((13,0)--(13,4)--(14,4)--(14,0)--cycle,grey);
fill((15,0)--(15,5)--(16,5)--(16,0)--cycle,grey);
fill((17,0)--(17,2)--(18,2)--(18,0)--cycle,grey);

label("0",yaxis[0],W);
label("1",yaxis[1],W);
label("2",yaxis[2],W);
label("3",yaxis[3],W);
label("4",yaxis[4],W);
label("5",yaxis[5],W);
label("6",yaxis[6],W);
label("7",yaxis[7],W);
label("8",yaxis[8],W);
label("9",yaxis[9],W);
label("10",yaxis[10],W);
label("Students/Participants",(9.5,0),S);
label("Results of a New Apple Eating Contest",(9.5,10),N);
label(rotate(90)*"$\#$ of Apples Eaten",(-1,5),W);
[/asy]

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