Pearson Algebra 1 Common Core, 2011
PA
Pearson Algebra 1 Common Core, 2011 View details
Chapter Test

Exercise 21 Page 791

How many variables do univariate and bivariate data involve?

See solution.

Practice makes perfect

We are asked to give example data sets of univariate and bivariate data. Then we will determine the differences between these data types.

Univariate Data

When a set of data uses only one variable, it is called univariate. Let's look at some example data that represents the number of hours per day that some developers spend programming. ccccc 8 & 9 & 5 & 11 & 5 10 & 11 & 7 & 6 & 8 This data set involves only one variable — hours per day. Therefore, it is univariate. We can represent the data set using a bar graph.

Keep in mind that this is only one example of this type of data. The following data sets are also univariate.

  • The atomic numbers of the elements in the periodic table
  • The numbers of the houses of your friends and family
  • The side lengths of squares

Bivariate Data

A data set is considered bivariate when it uses two variables. Once again, let's consider the number of hours per day that developers spend programming. This time, we will also consider the annual salary of these developers.

Hours Spent Programming Annual Salary
8 $90 100
9 $110 600
5 $130 500
11 $95 000
5 $72 100
10 $64 200
11 $106 400
7 $112 500
6 $104 900
8 $79 500

Now the data set involves two variables. Therefore, it is bivariate. This type of data usually shows the relationship between two variables. To visualize the relationship between two variables, we can plot ordered pairs of the data on a scatter plot.

The following data sets are also examples of bivariate data sets.

  • The radii and surface areas of spheres
  • The shoe sizes and heights of your friends
  • The sales of ice cream and the average temperature on a given day

Differences

Finally, we can conclude the differences between univariate and bivariate data.

Differences Between Types of Data
Univariate Bivariate
Uses one variable Uses two variables
Does not show a relationship between variables Shows a relationship between variables
Can be represented using a bar graph Can be represented using a scatter plot