Step 1

Categorical data:

The type of data that naturally take non-numerical values, such as words that can classify or name the data points based on their quality, are called qualitative or categorical data. In order to facilitate the use of statistical methods on categorical data, a commonly used process used is coding, where each value of the categorical variable is coded or represented using a unique number.

Numerical data:

The type of data that can take a countable number of distinct numerical or quantitative values is called a discrete numerical data.

Step 2

Nominal measurement:

Nominal measurement is the most basic form of measurement that names or categorizes or classifies data. It is the weakest and easiest form of measurement.

Ordinal measurement:

Ordinal measurement is the measurement that ra

the data in a logical manner. It can be used when a natural ordering is present in the data to give the relative position of one object with respect to another. Numerical values can be assigned to the orders of the data, even when the data values are not naturally numerical. The properties of nominal measurement are applicable for ordinal measurement.

It is given that,

The school students classified on the basis of juice box selections i.e. here we are categories the students in the two or more categories based on their juice box selection.

Let us assume that a student select the orange juice box, another student select apple juice box. Here the name of variable is Nominal type data.

The number of students selected particular type of juice box is Numerical data.

Thus, the correct answer for types of data is

(B) Numerical, nominal data.

Categorical data:

The type of data that naturally take non-numerical values, such as words that can classify or name the data points based on their quality, are called qualitative or categorical data. In order to facilitate the use of statistical methods on categorical data, a commonly used process used is coding, where each value of the categorical variable is coded or represented using a unique number.

Numerical data:

The type of data that can take a countable number of distinct numerical or quantitative values is called a discrete numerical data.

Step 2

Nominal measurement:

Nominal measurement is the most basic form of measurement that names or categorizes or classifies data. It is the weakest and easiest form of measurement.

Ordinal measurement:

Ordinal measurement is the measurement that ra

the data in a logical manner. It can be used when a natural ordering is present in the data to give the relative position of one object with respect to another. Numerical values can be assigned to the orders of the data, even when the data values are not naturally numerical. The properties of nominal measurement are applicable for ordinal measurement.

It is given that,

The school students classified on the basis of juice box selections i.e. here we are categories the students in the two or more categories based on their juice box selection.

Let us assume that a student select the orange juice box, another student select apple juice box. Here the name of variable is Nominal type data.

The number of students selected particular type of juice box is Numerical data.

Thus, the correct answer for types of data is

(B) Numerical, nominal data.