A variety of information has been gathered from a sample of college freshmen
and seniors, including their region of birth; the extent to which they support
legalization of marijuana (measured on a scale on which \(7=\) strong support,
\(4=\) neutral, and \(1=\) strong opposition); the amount of money they spend each
week out-of-pocket for food, drinks, and entertainment; how many movies they
watched in their dorm rooms last week; their opinion of cafeteria food \((10=\)
excellent, \(0=\) very bad \()\); and their religious affiliation. Some results
are presented here. Find the most appropriate measure of central tendency for
each variable for freshmen and then for seniors. Report both the measure you
selected as well as its value for each variable (e.g., "Mode \(=3\) " or "Median
\(=3.5\) "). (HINT: Determine the level of measurement for each variable first.
In general, this will tell you which measure of central tendency is
appropriate. See the section "Choosing a Measure of Central Tendency" to
review the relationship between measure of central tendency and level of
measurement. Also, remember that the mode is the most common score, and
especially remember to array scores from high to low before finding the
median.)
$$\text { Fresh Men}$$
\(\begin{array}{clccccl}
\text { Student } & \text { Region of Birth } & \text { Legalization } & \text
{Out-ofPocket Expenses } & \text { Movies } & \text { Food } & \text {
Religion } \\
\hline \text { A } & \text { North } & 7 & 33 & 0 & 10 & \text { Protestant }
\\\
\text { B } & \text { North } & 4 & 39 & 14 & 7 & \text { Protestant } \\
\text { C } & \text { South } & 3 & 45 & 10 & 2 & \text { Catholic } \\
\text { D } & \text { Midwest } & 2 & 47 & 7 & 1 & \text { None } \\
\text { E } & \text { North } & 3 & 62 & 5 & 8 & \text { Protestant } \\
\text { F } & \text { North } & 5 & 48 & 1 & 6 & \text { Jew } \\
\text { G } & \text { South } & 1 & 52 & 0 & 10 & \text { Protestant } \\
\text { H } & \text { South } & 4 & 65 & 14 & 0 & \text { Other } \\
\text { ? } & \text { Midwest } & 1 & 51 & 3 & 5 & \text { Other } \\
\text { J } & \text { West } & 2 & 43 & 4 & 6 & \text { Catholic }
\end{array}\)
\(\text { SENIORS }\)
\(\begin{array}{clccccl}
\text { Student } & \text {Region of Birth } & \text { Legalization } & \text
{Out-ofPocket Expenses } & \text { Movies } & \text { Cafeteria Food } & \text
{ Religion } \\
\hline \mathrm{K} & \text { North } & 7 & 65 & 0 & 1 & \text { None } \\
\mathrm{L} & \text { Midwest } & 6 & 62 & 5 & 2 & \text { Protestant } \\
\mathrm{M} & \text { North } & 7 & 60 & 11 & 8 & \text { Protestant } \\
\mathrm{N} & \text { North } & 5 & 90 & 3 & 4 & \text { Catholic } \\
\mathrm{O} & \text { South } & 1 & 62 & 4 & 3 & \text { Protestant } \\
\mathrm{P} & \text { South } & 5 & 57 & 14 & 6 & \text { Protestant } \\
\mathrm{Q} & \text { West } & 6 & 40 & 0 & 2 & \text { Catholic } \\
\mathrm{R} & \text { West } & 7 & 49 & 7 & 9 & \text { None } \\
\mathrm{S} & \text { North } & 3 & 45 & 5 & 4 & \text { None } \\
\mathrm{T} & \text { West } & 5 & 85 & 3 & 7 & \text { Other } \\
\mathrm{U} & \text { North } & 4 & 78 & 5 & 4 & \text { None }
\end{array}\)
