and the level of measurement for the educationeducation of the respondents in a survey classified as Institutional comma Autodidactic comma or OtherInstitutional, Autodidactic, or Other. Explain your choice.

The Question is understood as asking for [the Level of] Education of the respondents in a survey classified as [with values] Institutional, Autodidactic, or Other.

Answer:

The level of measurement is the Nominal Scale.

Step-by-step explanation:

The variable studied here is Education (of the respondents), and it is measured using three categories: Institutional, Autodidactic or Other.

As can be seen, the variable Education is measured using those categories that act as labels. These labels are simply names and they have neither relation in order to the other categories - --that is, no value is higher or lower than other-- - and nor numerical meaning at all, as it is with other levels of measurement like Ordinal, Interval or Ratio.

For instance, having an Institutional value is not saying that it represents a higher value than having Autodidactic value or Other value. Moreover, if we substituted Institutional, Audidactic and Other by 0, 1, or 2, these values have no numerical value but are a way to classify the different possible values for the Education variable.

In other words, they represent only a way to classify values for the Education variable. No more than this.

As a result, the level of measurement for the variable Education is the Nominal Scale.