Question

The following are examples of different types of variables. Which are continuous variables?

Check all that apply.

A. Temperature of a hot pizza.
B. Telephone number.
C. Number of votes for a candidate
D. Speed of a race car
E. Weight of an elephant

Answer 1

Explanation:

I apologize for the confusion in my previous response. Let's reevaluate the variables and identify the discrete ones:

A. Telephone number: Discrete variable. Each telephone number is a unique identifier, and it takes a specific, distinct value.

B. Speed of a race car: Not a discrete variable. Speed can take on any real number value and is considered a continuous variable.

C. Temperature of a hot pizza: Not a discrete variable. Temperature is typically measured on a continuous scale.

D. Number of votes for a candidate: Discrete variable. The number of votes is always a whole number (integer).

E. Weight of an elephant: Not a discrete variable. Weight can take on any real number value and is considered a continuous variable.

So, the discrete variables from the list are:

B. Telephone number

C. Number of votes for a candidate

Answer 2

Explanation:

A discrete variable is a variable whose value is obtained by counting, i.e. we can find a one to one correspondence with the set of natural numbers

But a continuous variable is a variable whose value is obtained by measuring infinitely continuous values example milk in a container. ... A discrete random variable X has a countable number of possible values

Hene we find that

a) Tempeature of a hot pizza -- continuous(since between any two different temperatures there will be infinitely more temperatures)

B. Telephone number. -- Discrete since countable

C. Number of votes for a candidate --Discrete since countable

D. Speed of a race car -- Continuous (As speed can take decimals, etc.)

E. Weight of an elephant--(continuous)