Determine whether F is conservative. If so, find a function f such that 
. 
Definitions:
IQR
The Interquartile Range, a measure of statistical dispersion being the difference between the 75th and 25th percentiles.
Shape
In statistics, the geometric configuration of a data distribution, which can be described by terms like symmetrical, skewed, or bimodal.
Symmetric
Describes an object or distribution that is identical on both sides of a central point or axis.
Mean Score
The arithmetic average of a set of numerical values, calculated by adding them together and dividing by the number of values.
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