Question

State whether the data described below are discrete or​continuous, and explain why.The heights (in feet) of different buildingsChoose the correct answer below.A. The data are discretediscrete because the data can only take onthe data can only take on specific valuesspecific values.B. The data are continuouscontinuous because the data can only take onthe data can only take on specific valuesspecific values.C. The data are discretediscrete because the data can take on anythe data can take on any value in an intervalvalue in an interval.D. The data are continuouscontinuous because the data can take on anythe data can take on any value in an intervalvalue in an interval.

Answer 1

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

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 and 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 where as continuous data is measured.

Thus, height is a continuous data since it can take any values within an interval and is measured.

Thus, the correct answer is

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