Question

Name if the following are discrete or continuous variables. Also name if the scenario is ratio, ordinal, nominal, or interval   The different heights of children in a fourth-grade class- The divisions of the American League in Major League Baseball- The number of pennies sitting in a jar- The time taken to deliver newspapers on a delivery route- Your age relative to the average age of other students in the class- The level of pain a patient indicates on a pain scale of 1-10- The counties of Ireland- The height of a pier above or below the surface of the water- The Nation Weather Service’s classification of Hurricanes as Categories 1, 2, 3, 4, or 5- Amount of water in an Olympic Swimming Pool-

Thanks!

Answer 1

Discrete variables are countable in finite time. Continuous variables are not countable in finite time.

So, to understand whether a variable is discrete or continuous, "check whether we can count it completely in finite time".

1. The different heights of children in a fourth grade class: is a continuous variable. Reason: Height is a continuous variable. In a class the height of students can be any number within a range. Interval, Reason: Large values imply height is more slow but no meaning in a 0 value.

2. The divisions of the American league in Major league football:- Discrete variable. Reason: Divisions will be always a finite number. Nominal value, Reason: simply categorizes something

3. The number of pennies sitting in a jar:- Discrete variable, Reason: Number of pennies is countable. Ratio, Reason: Large values imply your age is more and there is a meaning in a 0 value

4. The time taken to deliver newspapers on a delivery route:- Continuous variable. Reason: Time taken can be any number within a range. So infinite possibilities. Ratio, Reason: Large values imply delivery is more slow there is a meaning in a 0 value.

5. Your age relative to the average age of other students in the class- Continuous variable. Reason: Age can be any number within a range. So infinite possibilities. s on a delivery route:- Continuous variable. Reason: Time taken can be any number within a range. So infinite possibilities. Ratio, Reason: Large values imply your age is more and there is a meaning in a 0 value

6. The level of pain a patient indicates on a pain scale of 1-10: Discrete variable. Reason: Countable finite possibilities.         Ordinal, Reason:- Order of the pain is important

7.The counties of Ireland- Discrete variable. Reason: Countable finite number. Nominal value, Reason: simply categorizes something

8. The height of a pier above or below the surface of the water- Continuous variable. Reason: height can be any value. infinite possibilities. Ratio, Reason: 0 is possible and ratio of two heights have meaning.

9. The Nation Weather Service’s classification of Hurricanes as Categories 1, 2, 3, 4, or 5- Discrete variable. Reason: Countable finite possibilities. Ordinal, Reason:- Order of the hurricanes is important

10. Amount of water in an Olympic Swimming Pool- Continuous. Can be any value within a range. Infinite possibilities. Ratio, Reason: Large values imply amount of water is more and there is a meaning in a 0 value (no water).