Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
5. Samples and Surveys
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Exercise 6 Page 756

What number of variables does each type of data involve?

See solution.

Practice makes perfect

We want to determine the difference between univariate and bivariate data. To do so, we will look at example data sets of each type.

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 computer science students spend in front of a computer. ccccc 8 & 9 & 5 & 13 & 3 10 & 14 & 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.
Bar graph representing the number of hours per day that computer science students spend in front of a computer

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 house numbers 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 computer science students spend in front of a computer. This time, we will also consider the number of hours the students spend programming.

Hours Spent
In Front of a Computer Programming
8 6
9 4
5 5
13 2
3 3
10 8
14 10
7 5
6 4
8 0

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.

Scatter plot

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

  • The radii and surface areas of spheres
  • The ages and heights of your friends
  • The sales of ice cream and the average temperature on any 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