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In: Math

Name if the following are discrete or continuous variables. Also name if the scenario is ratio,...

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-

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Solutions

Expert Solution

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).


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