Question

The collection of numbers found in the interval [1,5] on the real number line are discrete data. Use the probability distribution in the following Table to answer the questions.

A.True
B.False

Answer 1

The interval [1,5] on the real number line represents continuous data, not discrete data. Discrete data consists of distinct and separate values, whereas continuous data can take on any value within a given range.

Step-by-step explanation:

The statement "The collection of numbers found in the interval [1,5] on the real number line are discrete data" is false. This is because the set of all real numbers between 1 and 5, inclusive, is an example of continuous data. Continuous data can take on any value within a given range and are not limited to separate, distinct values, unlike discrete data which consist of distinct and separate values.

A discrete probability distribution typically includes examples such as the number of students in a class, the number of books checked out from a library, or the number of classes taken by a university student. In contrast, continuous probability distributions, such as the uniform distribution, deal with data that can take any value within a specified range.