
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
Using the bar graph, find the positive difference between the school with the largest enrollment and the school with the smallest enrollment. Then calculate the average enrollment of all the schools.

[asy]
size(250);
defaultpen(fontsize(9));

fill((0,0)--(40,0)--(40,20)--(0,20)--cycle,lightgray);

draw((0,20)--(0,0)--(40,0));

draw((-0.5,2)--(40,2));
draw((-0.5,4)--(40,4));
draw((-0.5,6)--(40,6));
draw((-0.5,8)--(40,8));
draw((-0.5,10)--(40,10));
draw((-0.5,12)--(40,12));
draw((-0.5,14)--(40,14));
draw((-0.5,16)--(40,16));
draw((-0.5,18)--(40,18));
draw((-0.5,20)--(40,20));

filldraw((2.5,0)--(2.5,15.6)--(7.5,15.6)--(7.5,0)--cycle,lightblue);

draw((10,0)--(10,-0.5));
draw((20,0)--(20,-0.5));
draw((30,0)--(30,-0.5));
draw((40,0)--(40,-0.5));

filldraw((12.5,0)--(12.5,11.5)--(17.5,11.5)--(17.5,0)--cycle,lightblue);
filldraw((22.5,0)--(22.5,19.5)--(27.5,19.5)--(27.5,0)--cycle,lightblue);
filldraw((32.5,0)--(32.5,18.4)--(37.5,18.4)--(37.5,0)--cycle,lightblue);

label("0",(-0.5,0),W);
label("200",(-0.5,2),W);
label("400",(-0.5,4),W);
label("600",(-0.5,6),W);
label("800",(-0.5,8),W);
label("1000",(-0.5,10),W);
label("1200",(-0.5,12),W);
label("1400",(-0.5,14),W);
label("1600",(-0.5,16),W);
label("1800",(-0.5,18),W);
label("2000",(-0.5,20),W);

label("Summit Ridge",(5,-2));
label("Pine Hills",(15,-2));
label("Oak Valley",(25,-2));
label("Maple Town",(35,-2));

label("School",(20,-5), fontsize(11));
label(rotate(90)*"Number of Students",(-7,10), fontsize(11));
label("Total Enrollment",(20,24), fontsize(12));

label("1560",(5,15.6),S);
label("1150",(15,11.5),S);
label("1950",(25,19.5),S);
label("1840",(35,18.4),S);
[/asy]

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