Which of the following is a qualitative measurement in the context of probability?

• A. The color of a randomly selected ball from a bag
• B. The probability that $X>5$
• C. The number of heads in $10$ coin tosses
• D. The mean of a set of test scores

Answer: (A)

Verified step by step guidance

1. Understand the difference between qualitative and quantitative measurements: qualitative measurements describe categories or qualities (non-numeric), while quantitative measurements involve numeric values that can be measured or counted.
2. Examine each option to determine if it represents a qualitative or quantitative measurement:
3. - 'The color of a randomly selected ball from a bag' describes a category (color), which is qualitative.
4. - 'The probability that \( X > 5 \)' is a numeric value representing likelihood, so it is quantitative.
5. - 'The number of heads in 10 coin tosses' is a count, which is quantitative.
6. - 'The mean of a set of test scores' is an average numeric value, so it is quantitative.