Question 19

One example of Boolean data is whether a number is positive or not.

Boolean data is characterized by having two possible values, typically represented as true or false. In this case, the statement about whether a number is positive fits perfectly as it can only be true (if the number is greater than zero) or false (if the number is zero or negative).

A) The price of gas in dollars and cents

This option represents quantitative data that can take on a wide range of values and is not limited to two possibilities. Prices can vary, making it unsuitable as an example of Boolean data.

B) Whether a number is positive or not

This option is a clear example of Boolean data as it has only two possible states: true (the number is positive) or false (the number is not positive). It directly aligns with the characteristics of Boolean data.

C) The first letter of a person's last name

While the first letter can take on several values (A, B, C, etc.), it does not conform to the binary nature of Boolean data. Thus, this option does not qualify as an example of Boolean data.

D) The last name of a newly hired employee

Similar to option C, a last name can vary widely and is not limited to two states. It represents categorical data rather than Boolean data, making it an incorrect choice for this question.

Conclusion

The option that correctly exemplifies Boolean data is whether a number is positive or not, as it encapsulates the essence of having two distinct states. All other options fail to meet this definition, as they either represent quantitative or categorical data with multiple possibilities. Thus, option B is definitively the correct choice in identifying Boolean data.