
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
For a different dataset represented by a frequency histogram, by how many days is the mean number of days missed per student greater than the median number of days missed per student for the 18 students?

[asy]
draw((0,0)--(0,6),linewidth(2));
draw((0,0)--(7,0),linewidth(2));

draw((0,0)--(1,0)--(1,2)--(0,2)--(0,0)--cycle,linewidth(2));
draw((1,0)--(2,0)--(2,3)--(1,3)--(1,0)--cycle,linewidth(2));
draw((2,0)--(3,0)--(3,4)--(2,4)--(2,0)--cycle,linewidth(2));
draw((3,0)--(4,0)--(4,5)--(3,5)--(3,0)--cycle,linewidth(2));
draw((4,0)--(5,0)--(5,2)--(4,2)--(4,0)--cycle,linewidth(2));
draw((5,0)--(6,0)--(6,1)--(5,1)--(5,0)--cycle,linewidth(2));
draw((6,0)--(7,0)--(7,1)--(6,1)--(6,0)--cycle,linewidth(2));

draw((0,1)--(7,1),dashed);
draw((0,2)--(7,2),dashed);
draw((0,3)--(7,3),dashed);
draw((0,4)--(7,4),dashed);
draw((0,5)--(7,5),dashed);

label("0",(0.5,0),S);
label("1",(1.5,0),S);
label("2",(2.5,0),S);
label("3",(3.5,0),S);
label("4",(4.5,0),S);
label("5",(5.5,0),S);
label("6",(6.5,0),S);

label("1",(0,1),W);
label("2",(0,2),W);
label("3",(0,3),W);
label("4",(0,4),W);
label("5",(0,5),W);

label("Number of School Days Missed",(3.5,7));
label("by Mrs. Smith's Students",(3.5,6));

label("$\#$ of Days of School Missed",(3.5,-2));

label(rotate(90)*"$\#$ of Students",(-2,2.5));
[/asy]

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