Question

State whether the data described below are discrete or​continuous, and explain why.

Answer 1

Answer:

Option A) The data are continuous because the data can take on any value in an interval

Step-by-step explanation:

We are given the following in the question:

Data: The heights (in feet) of different buildings

Discrete and continuous data:

• Discrete data is the data that cannot take values in decimals. They are expressed in whole numbers.
• Continuous data can take values in decimals.
• Continuous data can take any value within an interval.
• Discrete data cannot take all the value within an interval.
• Discrete data is counted.
• Continuous data is measured.

Thus, height is a continuous data since it can take any values within an interval and is measured. It can be expressed in decimals.

Thus, the correct answer is

Option A) The data are continuous because the data can take on any value in an interval