CATEGORICAL VARIABLE AND NUMERICAL VARIABLE

For each of the following variables, indicate whether it is numerical or categorical variable.

Problem 1 :

The time taken to travel to school

Solution :

Time taken can be indicated using numerical values. So, the given data is numerical variable.

Problem 2 :

The number of cousins a person has

Solution :

The number of cousins a person has should be mentioned using numerical value. So, the given data is numerical variable.

Problem 3 :

Voting intention at the next election

Solution :

Voting intention means reason of voting. Every one has types of reasons. So it is categorical variable.

Problem 4 :

The number of cars in a household

Solution :

The number of cars must be represented using numerical value. So, it is numerical variable.

Problem 5 :

The speed of cars on a particular stretch of highway

Solution :

The speed of cars can be represented using numerical value. So, it is numerical variable.

Problem 6 :

Favourite type of apple. 

Solution :

Type of apple may have names. So it is categorical variable.

Problem 7 :

Town or city where a person was born

Solution :

Person will born in a place. City will have names. So it is categorical variable.

Problem 8 :

The weight of three-year-old children

Solution :

Weight of three year old children will have different weights. So it is numerical variable.

Problem 9 :

The color of the bottle of wine.

Solution :

It is categorical variable.

Problem 10 :

The number of books a person owns.

Solution :

The number of books must be a numerical value. It is numerical variable.

Problem 11 :

A class of 20 students was asked, how many children are there in your household and the following data was collected ?

1   2   3   3    2    4    5    4    2   3    8    1    2    1   3    2   1  2  1   2

i) What is the variable in this investigation ?

ii)  Is the data discreate or continuous?

Solution :

i)  It is numerical variable.

ii)  It is discrete, because for number of children will not have limit and there is no chance to have decimal value.