
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

...

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system
For the data whose frequency histogram is shown, 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? Express your answer as a common fraction.

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

draw((0,0)--(1,0)--(1,3)--(0,3)--(0,0)--cycle,linewidth(2));
draw((1,0)--(2,0)--(2,2)--(1,2)--(1,0)--cycle,linewidth(2));
draw((2,0)--(3,0)--(3,4)--(2,4)--(2,0)--cycle,linewidth(2));
draw((3,0)--(4,0)--(4,2)--(3,2)--(3,0)--cycle,linewidth(2));
draw((4,0)--(5,0)--(5,1)--(4,1)--(4,0)--cycle,linewidth(2));
draw((5,0)--(6,0)--(6,5)--(5,5)--(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",(.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",(3.5,8));
label("by Mr. Clark's Students",(3.5,7));

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

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

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