Question

For quantitative data sets, which of the following is correct?

A) There is never a mode.
B) There may be one, more than one, or no mode.
C) There is always a mode.
D) Mode depends on the sample size.

Answer 1

The correct option for quantitative data sets is B) There may be one, more than one, or no mode since the mode is the most frequent value and a data set can be unimodal, bimodal, multimodal, or have no mode.

Step-by-step explanation:

For quantitative data sets, B) There may be one, more than one, or no mode is the correct option. The mode is defined as the most frequent value in a data set. A data set can have a single mode (unimodal), more than one mode (bimodal or multimodal if there are more than two modes), or no mode at all if all values are equally frequent or there's no repetition of values. An example of unimodal data could be the set {1, 2, 2, 3}, where 2 is the mode. An example of bimodal data would be {1, 2, 2, 3, 3}, with modes being 2 and 3. Finally, the set {1, 2, 3, 4} has no mode, as all values appear only once.