Question

Is the thickness of something a discrete or continuous value?

Answer 1

The thickness of an object is a continuous value because it can have infinitely many possible values within a range and is the result of measurement. Comparable continuous measurements include temperature and volume of water, and they are key in analyzing continuous probability distributions.

Step-by-step explanation:

The thickness of an object is considered a continuous value since it can be measured and take on a range of values including fractions and decimals. This is similar to measuring other continuous variables like temperature or height, where these measurements can have infinitely many possible values within a given range and are not restricted to whole numbers. Continuous data are the results of measurements that provide quantitative continuous data.

An example of a physical entity that is not quantized and is continuous would be the volume of water in a glass. The volume can vary continuously and can be measured to a very fine degree of accuracy, representing a continuous range of values.

In statistics, continuous and discrete data types are important concepts when it comes to analysis and interpretation. For instance, you might analyze the continuous probability distributions to determine the likelihood of certain measurements within a continuous range, such as the weight of an individual or the speed of a car.

Answer 2

Hello,

A discrete value is categorized, meaning it falls under certain specifications that place it within a category. On the other hand, a continuous variable can be measured, having an infinite number of possible values.

In this case, the thickness of something can be 1 meter, 1 inch, or even 1 mile. There are an infinite number of possible values, and the thickness is measured, not categorized, therefore it is a continuous value.

Hope this helps!