Question

Determine the appropriate level of measurement for each variable:

a. Attendance at a game.

b. Number of goals scored by the two teams, together, during a game.

c. Primary color of a team’s jersey (or shirt) during a game.

d. Pre-World Cup ranking of each team.

e. Home state of each player on the U.S. team.

f. Temperature, degrees Celsius, at the kick-off (meaning, start) of a game.

g. Whether (or not) a player attended a college or university.

h. Each player’s number of caps (meaning, international appearances).

i. Each player’s birth year.

Answer 1

(a)

Attendance at a game. - Ratio measurement

because number of persons attending can take any value including 0

(b)

Number of goals scored by the two teams, together, during a game. - Ratio measurement

because number of goals can take any value including 0

(c)

Primary color of a team’s jersey (or shirt) during a game - Nominal measurement

because color is only a label to identify a team

(d)

Pre-World Cup ranking of each team. - Ordinal measurement

because ranking and ordering of data is involved.

(e)

Home state of each player on the U.S. team - Nominal measurement

because home state is only a label to identify a player

(f)

Temperature, degrees Celsius, at the kick-off (meaning, start) of a game. Interval measurement,

because the zero points are arbitrary.

(g)

Whether (or not) a player attended a college or university. - Nominal measurement

because attending or not attending a college or university cannot be expressed numerically and cannot be ranked also.

(h)

Each player’s number of caps (meaning, international appearances). - Ratio measurement

because number of caps can take any value including 0

(i)

Each player’s birth year.:Interval measurement,

because the zero points are arbitrary.