Consider that we have nominal data (responses are categorical)and the responses are "Yes" or "No" to the question: "The next time you order pizza,will you use Domino's?" Which of the following sets of responses shows the MOST variability (all else being equal)?
A)90% say "Yes" and 10% say "No"
B)80% say "Yes" and 20% say "No"
C)70% say "Yes" and 30% say "No"
D)60% say "Yes" and 40% say "No"
E)50% say "Yes" and 50% say "No"

Question

Quizplus · Accepted Answer

The option where 50% say "Yes" and 50% say "No" has the most variability because it represents an equal split between the two possible responses. In contrast, the other options have a dominant response (80%, 90%, 70%, or 60% saying "Yes") and a minority response (20%, 10%, 30%, or 40% saying "No"). Options with a dominant response show less variability because a majority of respondents have the same opinion.

Consider That We Have Nominal Data (Responses Are Categorical)and the Responses