Problem 21BSC

determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate.

Colors of M&Ms (red, orange, yellow, brown, blue, green) listed in Data Set 20 in Appendix B

Problem 21BSC

Answer:

Step1 of 1:

We have Colors of M&Ms (red, orange, yellow, brown, blue, green) listed in Data Set 20 in Appendix B.

Step2 of 3:

We need to determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate.

Step3 of 3:

Let us know what is level of measurements

Consider,

Nominal: Nominal scales are used for labeling variables, without any quantitative value. “Nominal” scales could simply be called “labels.”

Ordinal: It is the order of the values is what’s important and significant, but the differences between each one is not really known. Ordinal scales are typically measures of non-numeric concepts like satisfaction, happiness, discomfort, etc

Interval:Interval scales are numeric scales in which we know not only the order, but also the exact differences between the values. The classic example of an interval scale is Celsius temperature because the difference between each value is the same.

ratio:Ratio scales are the ultimate nirvana when it comes to measurement scales because they tell us about the order, they tell us the exact value between units, AND they also have an absolute zero–which allows for a wide range of both descriptive and inferential statistics to be applied.

Colors are categorical and cannot be ordered. Hence, it is “nominal”.