Question

In: Statistics and Probability

Determine the level of measurement (nominal, ordinal, interval, ratio) for each of the variables listed, and...

Determine the level of measurement (nominal, ordinal, interval, ratio) for each of
the variables listed, and briefly state how you were able to identify the level of measurement being
used. Each level of measurement may be used more than once, or not at all.
1. Age (in years) of archaeological dig sites
2. Customer’s total order amounts, in U.S. dollars
3. The calendar years of birth for patients visiting a walk-in clinic
4. Student ID numbers (every student has a unique, randomly-generated ID number)
5. Patient’s gender identity (male, female, other)

Solutions

Expert Solution

(1)

Age (in years) of archaeological dig sites : Ratio scale

Explanation:

We were able to identify the level of measurement being used as Ratio scale because Age (in years) can take any value in a given interval including 0.

(2)

Customer’s total order amounts, in U.S. dollars : Ratio scale

Explanation:

We were able to identify the level of measurement being used as Ratio scale because Customer’s total order amounts, in U.S. dollars can take any value in a given interval including 0.

(3)

The calendar years of birth for patients visiting a walk-in clinic : Interval Scale

Explanation:

We were able to identify the level of measurement being used as Interval scale because the calendar years of birth for patients visiting a walk-in clinic can take any value in a given interval but it cannot take the value 0.

(4)

Student ID numbers (every student has a unique, randomly-generated ID number) : Nominal Scale

Explanation:

We were able to identify the level of measurement being used as Nominal scale because Student ID numbers simply categorizes the students without any ordering of the students.

(5)

Patient’s gender identity (male, female, other) : Nominal Scale

Explanation:

We were able to identify the level of measurement being used as Nominal scale because Patient’s gender identity simply categorizes the patients without any ordering of the students.


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