Question

For each variable, determine whether it is best thought of as discrete or continuous.Variable(a) The fuel efficiency, in miles per gallon, of an American-made car(b) The number of personal-injury traffic accidents last week on Interstate 65 in Indiana(c) In an experimental study, the participant's estimate for the height of a 3-meter imageprojected 12 meters away(d) The highest grade level (1st, 2nd, or 3rd) completed by a high-school dropout

Answer 1

A Discrete variable is countable in a finite amount of time while a Continous variable is uncountable in a finite amount of time.

Therefore, grouping the variables into Discrete and Continous, we have:

a) The fuel efficiency, in miles per gallon, of an American-made car >>> Continous variable.

b) The number of personal-injury traffic accidents last week on Interstate 65 in Indiana >>>Discrete variable.

c) In an experimental study, the participant's estimate for the height of a 3-meter image >>> Continous variable.

d) The highest grade level (1st, 2nd, or 3rd) completed by a high-school dropout >>> Discrete variable