Question

State whether the data described below are discrete or​ continuous, and explain why. The maximum capacities of various stadiums

(A) The data are continuous because the data can take on any value in an interval.
(B) The data are discrete because the data can take on any value in an interval.
(C) The data are discrete because the data can only take on specific values.
(D) The data are continuous because the data can only take on specific values

Answer 1

C.

Explanation:

When a data is continuous, the values it can take are the real numbers, this means it can take any value in an interval.

When a data is discrete, the values can take only certain values in an interval, this data usually refers to natural numbers.

In the case of the maximum capacities of various stadiums it is clear that their capacities can only be found in the natural numbers (a stadium cannot have a capacity of 4647576.56 people or any number with a decimal). Therefore, the data are discrete because it can take only some specific values.

Thus, the correct answer is C.