In: Statistics and Probability
1. In each of the following, what type of measurement scale is being used: Nominal, ordinal, interval or ratio? Answer in the column to the right. Value: 10% |
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Answer #1 |
Question |
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A) |
High school soccer players classified by their athletic ability: Superior, Average, Above average |
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B) |
Baking temperatures for various main dishes: 350, 400, 325, 250, 300 |
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C) |
The colors of crayons in a 24-crayon box |
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D) |
Social security numbers |
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E) |
Incomes measured in dollars |
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F) |
A satisfaction survey of a social website by number: 1 = very satisfied, 2 = somewhat satisfied, 3 = not satisfied |
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G) |
Political outlook: extreme left, left-of-center, right-of-center, extreme right |
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H) |
Time of day on an analog watch |
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I) |
The distance in miles to the closest grocery store |
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J) |
The dates 1066, 1492, 1644, 1947, and 1944 |
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K) |
The heights of 21 65 -year-old women |
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L) |
Common letter grades: A, B, C, D, and F |
First, we'll breifely define the scales;
Nominal Scale, also called the categorical variable scale, is defined as a scale used for labeling variables into distinct classifications and doesn’t involve a quantitative value or order. This scale is the simplest of the four variable measurement scales. Calculations done on these variables will be futile as there is no numerical value of the options.
Ordinal Scale is defined as a variable measurement scale used to simply depict the order of variables and not the difference between each of the variables. These scales are generally used to depict non-mathematical ideas such as frequency, satisfaction, happiness, a degree of pain etc. It is quite straightforward to remember the implementation of this scale as ‘Ordinal’ sounds similar to ‘Order’, which is exactly the purpose of this scale.
Interval Scale is defined as a numerical scale where the order of the variables is known as well as the difference between these variables. Variables which have familiar, constant and computable differences are classified using the Interval scale. It is easy to remember the primary role of this scale too, ‘Interval’ indicates ‘distance between two entities’, which is what Interval scale helps in achieving.
Ratio Scale is defined as a variable measurement scale that not only produces the order of variables but also makes the difference between variables known along with information on the value of true zero. It is calculated by assuming that the variables have an option for zero, the difference between the two variables is the same and there is a specific order between the options.
Now as per these definitions we'll solve.
A) |
High school soccer players classified by their athletic ability: Superior, Average, Above average |
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B) |
Baking temperatures for various main dishes: 350, 400, 325, 250, 300 |
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C) |
The colors of crayons in a 24-crayon box |
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D) |
Social security numbers |
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E) |
Incomes measured in dollars |
A) Ordinal Scale
B) Interval Scale
C) Nominal Scale
D) Nominal Scale
E) Ratio Scale
Please raise a separate request for other parts.