Step 1

A data is said to be quantitative data if it can be measured on numeric or quantitative scale. Mathematical operations can be performed on the quantitative variables.

A data is said to be categorical data if it can classify the observations as names or labels. Mathematical operations cannot be performed on the categorical variables.

Step 2

Reason for correct answer:

According to the definitions, the quantitative data consist of numbers that represent measurements or counts and categorical data consist of names and labels.

Thus, second option is correct.

Reason for incorrect answer:

Categorical data consist of names and labels, and that can be numeric. Such as, age groups. For example the age groups 20-30, 30-40, 40-50 etc. categorize the variable age, the jersey number of a football player is numerical, but it labels the player.

Hence, first option is not correct.

Quantitative data can be arranged in numerical order and some categorical data can be arranged in logical order. Thus, third option is not correct.

Quantitative and categorical data, both have countable number of possible values. Thus, fourth option is not correct.

A data is said to be quantitative data if it can be measured on numeric or quantitative scale. Mathematical operations can be performed on the quantitative variables.

A data is said to be categorical data if it can classify the observations as names or labels. Mathematical operations cannot be performed on the categorical variables.

Step 2

Reason for correct answer:

According to the definitions, the quantitative data consist of numbers that represent measurements or counts and categorical data consist of names and labels.

Thus, second option is correct.

Reason for incorrect answer:

Categorical data consist of names and labels, and that can be numeric. Such as, age groups. For example the age groups 20-30, 30-40, 40-50 etc. categorize the variable age, the jersey number of a football player is numerical, but it labels the player.

Hence, first option is not correct.

Quantitative data can be arranged in numerical order and some categorical data can be arranged in logical order. Thus, third option is not correct.

Quantitative and categorical data, both have countable number of possible values. Thus, fourth option is not correct.