Question 10

Whether a number is positive or not

Boolean data represents truth values, typically expressed as true or false. An example of Boolean data is determining whether a number is positive, as it can only be true or false based on its value.

A) The price of gas in dollars and cents

This option is incorrect because the price of gas is a numerical value that can take on a range of values and is not limited to just two states. It does not fit the definition of Boolean data, which is confined to binary outcomes.

B) Whether a number is positive or not

This option is correct as it presents a clear binary choice: a number can either be positive (true) or not positive (false). This aligns perfectly with the characteristics of Boolean data.

C) The last name of a newly hired employee

This option is incorrect because a last name is a categorical variable that can take on numerous values and does not represent a binary state. It does not qualify as Boolean data since it is not limited to two possible answers.

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

This option is incorrect as well, as the first letter of a last name can be any letter from the alphabet, making it a categorical variable rather than a Boolean one. It does not fit the definition of having only two states.

Conclusion

The correct answer, whether a number is positive or not, exemplifies Boolean data by presenting a binary choice between two states. All other options fail to meet the criteria for Boolean data due to their categorical or numerical nature, which does not provide a true or false outcome. Thus, option B is the only suitable example of Boolean data.