Given:
We need to use the measurement for the rank of contestants in the competition.
Required:
We need to find the most appropriate measurement for the given data,
Step-by-step explanation:
Consider the individual options.
Nominal:
This measurement normally deals only with non-numeric (quantitative) variables or where numbers have no value.
For the given data we need to give the numeric values to the rank.
This measurement is not useful.
Ratio:
A ratio scale is a quantitative scale where there is a true zero and equal intervals between neighboring points
There is no impotence for intervals between the rank of contestants.
This measurement is not useful.
Interval:
An interval measure is one where the distance between the attributes.
There is no importance for the distance between the rank of the contestants.
This measurement is not useful.
Ordinal:
A number designating the place (such as first, second, or third) occupied by an item in an ordered sequence.
This gives the perfect place for the rank of contestants.
This measurement is most appropriate.
Final answer:
Ordinal.