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Chapter 1: Q2-23BSC (page 1)

In Exercises 21-28,determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate.

M&MsColours of M&Ms (red, orange, yellow, brown, blue, green) are listed in Data Set 27 “M&M Weights” in Appendix B.

Short Answer

Expert verified

The distinct colors of M&M candies can be categorized under thenominalscale of measurement.

Step by step solution

01

Given information

The data for six different colors of M&M candies are provided.

02

Classification of data according to the level of measurement

Different levels of measurement are defined to classify the values of variables according to their properties, which influence their statistical use.

  • Nominal: The nominal scale being the least refined scale, is used only to define qualitative labels using numerical values. It is an unordered scale. For example, pizza toppings at a restaurant can be recorded as 1 for mushrooms, 2 for pepperoni, 3 for jalapenos, and 4 for olives.
  • Ordinal: The ordinal scale records the ordering of data to identify the magnitude of any variable. For example, ranking of body type as 1 for Extremely Fit, 2 for Moderately Fit, and 3 for Poorly Fit. Here, the exact difference between the values cannot be determined.
  • Interval: The interval scale is used to define numerical variables where the ratio of the values cannot be computed. For example, the credit score of a person ranges from 300 to 850, and you can also subtract the values.
  • Ratio: The ratio scale being the most accurate is used to define all numerical variables that can be tabulated, compared, and analyzed. For example, the heights of students in a class are measured in feet and inches.
03

Identification of the appropriate scale

The colors of M&Mcandies are categorical and contain labels like red, orange, yellow, brown, blue, and green with no real order. Thus, they can be written using thenominallevel of measurement.

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