Find the Average Value of the Function F Over the Given

question 230

Multiple Choice

Find the average value of the function f over the given region.
- $f ( x , y ) = \frac { 1 } { x y }$ over the region bounded by $y = \frac { 1 } { x } , y = \frac { 2 } { x } , x = 2$ , and $x = 4$ .

• A) \(8 \ln 2\)
• B) \(\ln 2\)
• C) \(\frac { 1 } { 2 } \ln 2\)
• D) \(2 \ln 2\)

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Definitions:

Standard Score

A score that has been transformed to fit a normal distribution, usually with a mean of 100 and a standard deviation of 15.

National Mean

The average score or value derived from a specific set of data collected across a nation.

Standard Deviation

The statistical metric that calculates the dispersion or spread of data points in a dataset around the average value.

Raw Score

An untreated score before manipulation or processing to make it a standard score, as must be done for all norm-referenced tests. Raw scores alone tell us little, if anything, about how a person has done on a test. We must take an individual’s raw score and do something to it to give it meaning.