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Identify each of the following as examples of (1) nominal, (2) ordinal, (3)discrete, or (4) continuous variables:1 The length of time until a pain reliever begins to work.2 The number of chocolate chips in a cookie.3 The number of colors used in a statistics textbook.4 The brand of refrigerator in a home.5 The overall satisfaction rating of a new car.6 The number of files on a computer’s hard disk.7 The pH level of the water in a swimming pool.8 The number of staples in a stapler.ENNN (University of Ghana) STAT 111 January 17, 2021 27 / 67

Question

Identify each of the following as examples of (1) nominal, (2) ordinal, (3)discrete, or (4) continuous variables:1 The length of time until a pain reliever begins to work.2 The number of chocolate chips in a cookie.3 The number of colors used in a statistics textbook.4 The brand of refrigerator in a home.5 The overall satisfaction rating of a new car.6 The number of files on a computer’s hard disk.7 The pH level of the water in a swimming pool.8 The number of staples in a stapler.ENNN (University of Ghana) STAT 111 January 17, 2021 27 / 67

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Solution

  1. The length of time until a pain reliever begins to work - (4) Continuous variable: This is because time is a continuous variable, it can take any value within a certain range.

  2. The number of chocolate chips in a cookie - (3) Discrete variable: This is because the number of chocolate chips can be counted and it cannot be a fraction.

  3. The number of colors used in a statistics textbook - (3) Discrete variable: This is because the number of colors can be counted and it cannot be a fraction.

  4. The brand of refrigerator in a home - (1) Nominal variable: This is because the brand of a refrigerator is a category, it does not have a numerical value and cannot be ordered in a meaningful way.

  5. The overall satisfaction rating of a new car - (2) Ordinal variable: This is because satisfaction rating is a category that can be ordered. For example, a rating of 5 is better than a rating of 4.

  6. The number of files on a computer’s hard disk - (3) Discrete variable: This is because the number of files can be counted and it cannot be a fraction.

  7. The pH level of the water in a swimming pool - (4) Continuous variable: This is because pH level is a continuous variable, it can take any value within a certain range.

  8. The number of staples in a stapler - (3) Discrete variable: This is because the number of staples can be counted and it cannot be a fraction.

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